Well, that took about 4 minutes in the garage. I had a battery for a USB / 120-VAC outlet pack and I took the two halves of the case off.
In factory packaging: 798 grams
(lighter) bottom half of case: 78 grams
top half of case that secured the batteries and terminals: 110 grams
Expected weight of some bubble-wrap or 1/16″ foam and tape to secure/insulate the bits: 40 grams.
Weight savings (78+110-40)/798 = 148/798 = 19%
Note, the first half of the case was super easy to compensate for. one strip of tape would have secured everything and saved 9% of the weight.
Also, this seemed to have a higher percentage battery weight than a lot of these after-market stand-by chargers. I suspect a lot of chargers could save 30-40% of their weight by stripping the case off.