The target of my research (literature search only) was, as you say, chronic exposures. Specifically, a considerable number of oil production installations which were designed 20 years previously for "sweet" hydrocarbons (no H2S) have since had their fluids turn sour (probably by downhole bacterial decomposition of sulphate in injected seawater), resulting in embrittlement of high-pressure pipelines and plant (one set of problems) and also consistently detectable (though still sub-ppm, probably ; this is a problem since most industrial calibration samples are at 1, 5 or 10 ppm) H2S in the accommodation atmosphere. As you say, this is an under-researched area, due to H2S's well earned reputation as an acute killer.
You say "the human body has enzymes that break it down harmlessly (it is present in small amounts in the body normally). As long as those enzymes aren't overwhelmed" ; yes, the human body has enzymes that can process H2S, "as long as they're not overwhelmed." Problem is, that overwhelming happens many times that the enzyme molecule encounters a hydrosulphide ion, leaving the cytochrome enzyme literally plugged and resulting in a back-up of un-processed hydroxide free radicals. If that sounds like good news to you, then we've got different understandings of "good news". That said, though there has been some work done looking for post-exposure (to H2S) cancers and other sequels to the oxidative damage, with no strong effect noticed. (Caveat : vintage mid-1990s, and this is an under-researched area.)
This happened 30 years ago. If there was going to be a problem, it would have shown by now.
There are programmes following up people after such periods, though mostly (AFAICT) in the paper pulp industry. The exposure of some hundred thousand of people in Edmonton to several ppm for several days after a blowout ... sorry, I've forgotten the location ; about 1981, some hundred kilometres upwind from Edmonton ... Lodgepole blowout ... has produced a considerable cohort for a longitudinal study. Getting funding to actually perform such studies seems to have been difficult - probably because it would be politically inconvenient, and partly because - well, everyone knows that H2S is do-not-fuck-with stuff, so to stop fucking with it seems a pretty good start to management.
used in trauma to induce a deep hibernation like state
Yeah, I saw those reports. And I thought that sounded like pogo-sticking across really thin ice above a pool of hungry sharks. With lasers on their heads. I do understand the mechanisms they're proposing for preventing apoptosis (well, IANA metabolism researcher ; but I've forgotten more biochemistry and chemistry than most people), but that really doesn't encourage me to be on the receiving end of such treatments. I'd rather plan to avoid such injuries instead.
On a complete aside, I just discovered New Zealand's favourite part of Central Europe : Bad Aussee.