Hiya!
Yes, exactly this.
If players can't be bothered to track stuff they absolutely need (how hard is it to say you picked up that weapon you dropped?) when I as the DM have no problem tracking all of them, that says more about their interest in the game than anything. I've found enforcing it is not a chore. dropping isn't rampant and once players get the idea, the other problems disappear as well.
In-game I think having the character care about vital equipment is a far cry from worrying about trivial stuff like remembering to wash.
Personally, I make "general assumptions" unless my players state otherwise. That said, my players also understand that my "general assumptions" trump their "general assumptions"...so if I make the assumption that the PC's were panicked enough during some night-time interruption and the players all quickly state "It's gone? Back in to the woods again? This thing is going to keep coming back...lets get the hell out of here! Now! ... We all run back towards the river and get on the raft!", I would make the assumption that "getting away" is sufficient for them a concern that they probably *would* leave a lot of stuff behind. Would it be stupid for them to do that? Maybe, maybe not, they don't know when the monster is going to strike again. They're "panicking", in so far as season adventurers panic. I'd probably let each of them make an averaged Int + Wis check to see what they remembered to grab other than a weapon; in that situation, weapon is probably a given...but shield, backpack, armor....not so much.
As for "trivial" stuff...yeah, I mostly gloss over it too. Mostly. Sometimes I will mention stuff to them that their PC's might have thoughts about (e.g.: "You've been wounded in a couple of battles, trecking through this swamp for several days now...you notice some of your smaller cuts and scrapes starting to itch a lot more. One or two may even be a bit swollen and puffy. You feel fine, however, and continue on for another couple hours until it's lunch time. What do you guys do?"). A little "hint" that mother nature would toss at them, saying
Hey guys...you should probably clean and bandage that up...just saying...
But my DM'ing style if very much a "picture yourself there" style; I don't really cotton to much "mechanics trump common sense" idea of DM'ing. For example,
Goodberry. Yes, it can give you neutriants for a full day...but it doesn't actually give you
mass. It's still just one berry in size. Your stomach is going to be grumbling, and you are going to be hungry as all hell...but you won't start to suffer from starvation; you have the neutriants. Kinda like taking a bunch of vitamins and then drinking a couple of Red-Bulls. Attempting to subsist on this for more than a day or three would probably screw up your stomach (and maybe liver, kidney's, etc).
^_^
Paul L. Ming