Well, sure, computers eat that sort of bookkeeping for breakfast. Even now they'd "rather" track the location and weight of a million items than try to have one realistic conversation with an NPC that the player takes off the rails (which games don't even permit generally since the computer is so incapable of handling it). How many human DMs obsessed about it is an interesting question, though given the diversity of player and playstyles I'm sure the answer is quite non-zero. (And then there's the "cheat the DM/game either accidentally or on purpose" metagame that emerges has its own intricacies. "Hey, guys, I didn't notice this, but it turns out I've been hauling around a literal ton of copper in my small leather wallet for the last several months... whoopsiedoodles.")
I know in pencil and paper D&D my go to move durring character creation has been to buy a mule and cart so I can pretty much ignore encumbrance rules until the early mid game at which point buying bags of holding portable holes and other extra dimensional storage is easily affordable.
