I like the suggestion. Though I wonder if there's a technical reason for why enabling trading while bleeding would be wholly impossible and uncircumventable.. 
If that can't be done, personally I wouldn't mind a script that checked inventory for certain healing potables and healing kits, and dropped a few if found upon character being rendered unconscious. Could be worth testing at least.
I like the idea of enabling trading, but some things aren't able to be sidestepped. (and some that can are entirely impractical to do so).
If you're going to code an auto-drop script, a better option would be an ooc container object that drops its contents. I believe it should be way easier (coding, maintenance, and system resources) than doing that many checks.
It'd also give players control over what they wanted to drop, including nothing. This could also be used for RP. For example, say you're carrying an item that your group really needs for this fight (like a wand). You could put that in the container, still use it, and if you went down, the obvious IC option of "I grab the wand and use it" would be available whether they could revive you or not.
It could be used for PVP fighting over an item, tournament bets/spoils, dropping items near a corpse without needing to go there as a ghost to do so (which basically means an odd period of time where you can't take an item from a body for no IC or ooc, other than game mechanics, reason), and things I probably can't think of.
I don't think it's a big problem since getting items that cure minor wounds (Drobita mushrooms, honey, bay leaves) is fairly simple so even falling back on trying to make a stabilize check with a healing kit is somewhere around plan D for me, but it would at least have other uses besides fixing a minor problem (even if they weren't that common) and be a bit easier.
