The only time my Sony's have gotten hot was when a mech switch locked in firing mode when was in the loo. Came back to a fog filled fragrant room. But then everything was hotter than he//. Melted inuslators, drip tip, burnt the chit out of me, but once every thing cooled down, batt was still at 3.8 volts, marked it and have been monitoring it, seems to be no worse for wear.
You have a short, or fakes, or both. Break everything down, mod and rba used, clean everything, tooth brushes and toothpaste is what I use, then go over everything with rubbing alcohol. re-build, reassemble, check it out. Monitor closely.
Sony's just don't heat up by them selves. What amps you are demanding from them whether due to a short in the mod or atty, is like way over specs, basically more amps then it's pulse amp rating.
Yeah, defective ones are picked up by like fire something and ebay sellers, well some of them. Actually have two reliable, reputable battery sources on the Bay.