So.. I'll try to leave this short and sweet. The situations in which someone does not have healing supplies on them, and the individual who has the healing supplies falls in battle, are not excessively common but the thought has crossed all of our minds at one point or another. It is no different than dropping a 'Lesser Mist Orb' beside your body when you die. A lot of players in Port in the Company of the Fox made it a rule IC to carry your own ressurection equipment in the event that you would die in battle, so we could get you back up and alive.
In the United States Military, in the Marine Corps I believe (I'm not 100% positive on which branch did this) it was required to keep basic supplies in a kit on you for the medic when he got to you. That notion saves a lot of complicated pre-planning, and trading mid-combat or trying to, regardless.
"You can circumvent this issue with forethought and distributing healing supplies, buddy," isn't an adequate response to the suggestion OP posted. It's a tongue-in-cheek response to a suggestion that is both logical, "ICly" possible physically, yet mechanically impossible at the moment. It makes no "IC" sense as of this moment, that you can drop a Lesser Mist Orb to ressurect yourself, but not be able to be searched to grab a healing kit off of your person. Stop it.
There are only two answers in this discussion that hold any merit. 'Yes, that's probably a good idea because we can also drop items by our corpses for the exact same purposes as intended by the Dev team," or, as DM Arawn stated above, "There are just some things that the engine doesn't currently support in a dead state."
Arguing the merits of allowing an item to be dropped or traded willingly in the dead state has nothing to with whether it should be possible, because it is possible when you are corpsed. There is no practical difference between it, only one is significantly more costly than the other.