These are the Pro-suction (or at least neutral) citations I found.
Dr. Gellert makes several errors of fact and gives a controversial opinion in his letter, “Snake-Venom and Insect-Venom Extractors: An Unproved Therapy” (Oct. 29 issue)1. He is correct in stating that the application of suction to snakebites and hymenoptera stings by most devices is worthless, but he is wrong in his blanket condemnation of all such devices. Bornstein et al.2 have demonstrated that a patented device, the Sawyer extractor, which is capable of producing nearly 1 atmosphere of vacuum, is efficacious in removing up to 37 percent of radiolabeled venom in rabbits when applied three minutes after injection. The use of this extractor as immediate first aid has been advocated by the Wilderness Medical Society in a peer-reviewed position paper,3 in the Merck Manual,4 and in Conn's Current Therapy — William W. Forgey, M.D. Wilderness Medical Society, Merrillville, IN 46410 Forgey WW. More on snake-venom and insect-venom extractors. N Engl J Med. 1993 Feb 18;328(7):516-7.
….Rattlesnakes cause most snakebites and related fatalities.….First-aid techniques such as arterial tourniquets, application of ice, and wound incisions are ineffective and can be harmful; however, suction with a venom extractor within the first five minutes after the bite may be useful. Juckett G1, Hancox JG. Venomous snakebites in the United States: management review and update. Am Fam Physician. 2002 Apr 1;65(7):1367-74.
Most hospitalized victims are bitten either by rattlesnakes or copperheads or by unidentified snakes. Most of these bites occur during the summer months and are found on the extremities. Field treatment focuses on the application of a vacuum extractor and transportation to the nearest medical facility. Blackman JR1, Dillon S. Venomous snakebite: past, present, and future treatment options. J Am Board Fam Pract. 1992 Jul-Aug;5(4):399-405.
Proven measures to slow systemic absorption are limited but should include immobilization of the bitten extremity in a neutral position in every case, and the patient should maintain strict bed rest….A suction device, if applied and functioning, should be left in place. –McKinney PE, Out-of-hospital and interhospital management of crotaline snakebite. Ann Emerg Med 2001 Feb 37 (2) 168. Comment: Immediate removal of extractor is recommended. Bush SP, Hardy DL Sr. Ann Emerg Med. 2001 Nov; 38(5):607-8
[non-snake]…a commercially available venom extractor was demonstrated to be a safe, noninvasive, and painless method for botfly extraction in the field without use of hospital resources. Simple and effective field extraction of human botfly, Dermatobia hominis, using a venom extractor. West JK. Wilderness Environ Med. 2013 Mar;24(1):17-22. doi: 10.1016/j.wem.2012.09.007. Epub 2012 Dec 14.
Although no therapy is universally accepted, a number of treatment plans appear to be effective. If envenomation has occurred, intravenous administration of antivenin and/or surgical excision or incision should be carried out without delay. Prompt transferral to a medical facility is the most appropriate first-aid measure. If transportation is unduly delayed, immediate linear incision and suction may be of value. Johnson CA. Management of snakebite. Am Fam Physician. 1991 Jul;44(1):174-80.
Venomous snakebite treatment is controversial. …Approximately 10 to 15 individuals die from snakebites each year, with bites from diamondback rattlesnakes accounting for 95 percent of fatalities. …Approximately 25 percent of all pit viper bites are "dry" and result in no envenomation. The best first aid is a set of car keys to get the victim to a facility where antivenin is obtainable. Incision and suction should be limited to very special situations; cryotherapy and use of tourniquets applied by laymen should be avoided. Kurecki BA 3rd1, Brownlee HJ Jr. Venomous snakebites in the United States. J Fam Pract. 1987 Oct;25(4):386-92.
The Venom Ex cutting and suction apparatus for the initial treatment of snakebite was evaluated. Rabbits were injected with radioactive Egyptian cobra venom, and treatment with the Venom Ex followed. The fluid obtained by suction was analysed. All 8 control animals died within 4 hours; Venom Ex treatment resulted in the recovery of 7 out of 8 rabbits, after double the lethal dose of venom, providing treatment was started early. However, if treatment was delayed or if the dose of venom was high, there was a marked increase in the mortality. The amount of venom extracted was insufficient to account for the recovery of the animals. In one group of rabbits trauma was applied to the injection site without lacerating the skin and without removal of venom. About half of these animals recovered. However, this was less efficient than the Venom Ex treatment. Trauma apparently retards absorption of venom and increases survival. The possible reasons for this novel finding are discussed. S Afr Med J. 1984 Jul 28;66(4):135-8. Evaluation of the Venom Ex apparatus in the treatment of Egyptian cobra envenomation. A study in rabbits. Reitz CJ, Goosen DJ, Odendaal MW, Visser L, Marais TJ.
Could not find citation. This is the study that finds 37% of venom removed. –A.C. Bronstein, F.E. Russell, J.B. Sullivan, N.B. Egen, B. Rumack. Negative pressure suction in field treatment of rattlesnake bite. Vet. Hum. Toxicol., 28 (1985), p. 297
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Could not find citation. A.C. Bronstein, F.E. Russell, J.B. Sullivan, N.B. Egen, B.H. Rumack. Negative pressure suction in the field treatment of rattlesnake bite victims. Vet. Hum. Toxicol., 28 (1986), p. 485
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Could not find citation (letter). B.S. Gold, Snake venom extractors: a valuable first aid tool, Vet. Hum. Toxicol., 35 (1993), p. 255