I think i may have "cracked the code" on this one. I'm trying this out myself tomorrow or this weekend on some synthetics without anti stink treatment. If this works well, then this could make a lot of DIY type folks here really happy. Hint, this may be similar to a growing in popularity, durable anti stink silver treatment for synthetics. I won't name names for obvious reasons.
This is what i'm doing. First, making some silver chloride/water solution with my so called colloidal silver maker. Treating some synthetic garments with some dye remover (i just found out about this stuff–bought a Joann's fabric), and after making sure it's really rinsed out so no residues of any kind. Bought some I Dye, dye for synthetics at Joann's. Follow instructions, except only putting about 1/3 or 1/4 of the "color intensifier packet" in with the dye. (i suspect the latter has sodium chloride or something similar in it)
As the water is heating and dye is being mixed, pour my silver chloride water suspension in with the hot water/dye/intensifier mix, follow directions of boiling for half hour to 1 hour. ******Note, you may want to only try this on garments that are a loosely fit, because this could shrink them some.******
Let it cool down and after, throw it in the rinse cycle of your wash. Tada, you have just bonded silver chloride to the surface of the synthetics as the dye was bonding to same. Because it's bonded with the dye, which bonds well to the fiber, so isn't the silver chloride. This *should* last a long while–definitely much longer than a wash in silver treatment.
How to make silver chloride easily and cheaply if you don't have a colloidal silver maker (or prior knowledge):
Things you will need–distilled water, a fresh 9 volt battery, some silver wire (at least 99% purity), glass bottle, jar, or drinking glass around a pint size. A little more is ok. A couple of tablespoons of pure sodium chloride or as pure as you can get (preferably no iodine, or no anti caking or flowing type agents).
Take glass jar/bottle/glass, fill up most of the way with hot distilled water, thoroughly mix in your 2 tablespoons of salt, take the 9 volt battery and wrap part of one end of the silver wire around the positive terminal, wrap another wire around the negative terminal (with space in between these! should be parallel) now make a set up wherein you can have the wire sticking out from the battery and inserted most of the way into the water. Two Popsicle sticks over the jar/glass/bottle to hold the battery could work. (note, you can use other conductive metals for the negative terminal, but the silver wire must be connected to the positive one and the other metal [say copper] wire to the negative. The positive terminal/electrode is what "gives off" the particles and ions in the water, so you want that to be silver).
You want the silver wires/strips long enough to go down to near the bottom of the glass, but with some space between it and the bottom.
Now, just wait–occasional stirring would help some, but not totally necessary. A few hours or so later, and you have an aqueous suspension of silver chloride—the magic ingredient. The silver wire might be a bit expensive at first glance, but that one little wire will last you a pretty long time depending on gauge, length, etc, but in any case you can get many treatments out of even a smaller wire. Obviously, the longer you wait, the more concentrated the silver suspension will become. I'm not exactly sure on times here, this is just approximation from researching colloidal silver making, but there are a lot of variables. I would say longer is better generally speaking, but at least a few hours per that much water and salt.
With about a pint of silver chloride in water suspension, you could treat probably up to two smaller/lighter synthetic garments. So again, the silver chloride water suspensio goes in with the dye and some of the color intensifier, with a little hot water and synthetic garments, all mixed well and boiling in the water.
I will let you know how my experiment with this goes. As soon as i'm done with a synthetic garment, i will be wearing it to try to stink it up, so i will likely run or otherwise sweat in same, and wear it at least a few days. Then i will wash it a bunch of times in a row, then do the same thing, try to stink it up.
Edited because i forgot a step.

