(I feel great when I kept that one potion of resist frost in skyrim and suddenly encountered five frost .. ghosts (name escapes me))
I think they're called Ice Wraiths...if you mean the little icy things that are really hard to see against the white background of snow lol
But potions in Skyrim aren't very heavy...they're only like .2 or .5 weight, and you start with around 300 carrying capacity and get something like 10 more when you upgrade Stamina (approximate values). The real problem that I see is the issue of lugging around specific armor, because it's heavier.
In Fallout 3 for PC, I carried different kinds of weapons around with me for different situations, but a big problem I had was actually switching to use those weapons. It took like 10 seconds to switch to a different weapon, because you had to lift up your hand, look at your little watch (and freeze time in doing so), navigate to Weapons, and then scroll through your weapons (I had like 20 of them...) until you find the one you want. It's kind of like that in Skyrim too.
My point is, if you're going to let your player bring around equipment that is situation-specific, consider offering some kind of quick method for switching to different sets of equipment. I especially liked the way Guild Wars did it: you have F1, F2, F3, and F4 as hotkeys to switch to different weapons/offhands. That way, players could put their generic sword and shield in F1 and their +25 energy staff in F2, and maybe add a generic sword with a shield that's especially good against Earth damage, or something.
Asides from these nagging issues, I actually would prefer it if I could carry as much as I wanted in RPGs. It'd be a good break from having to worry about everything I pick up, and as long as there's a way to filter the items (e.g. look only at weapons/armor/potions) then I wouldn't mind having a lot of stuff to look through.
I never really cared for the "realism" that limited inventory brought into games. It was usually just a nuisance. I always felt like I could play a lot better if I just had enough space to carry around my situation-specific equipment, and proper methods of switching between my equipment.