Most of my playing with the 7.62x39 predates the SST's. Given that the lightest SST in 0.308" are 150gr, I doubt that many have bothered to try. IMO, a 150gr SST @ 2,000fps is at the lower range of where they will expand and past ~100yds would be doubtful if it would offer any improvement over the standard 123-125gr bullets available for the 7.62x39.
I shot a lot of Nosler 125gr Ballistic Tips through the SKS's I had and they shot well. Never used one on deer however. I did use the Hornady 123gr .310" Soft Points. It performed well, though it did shed the jacket. It was adequate for the ~100lb doe I shot, though would have been marginal for a 300lb pig.
For any use I'd ever have for a SKS, a Marlin Mod.336 in .30/30 is far superior. I sold my last SKS over 10yrs ago and will likely not ever own another.