Not at all. It takes a good bit of playtime & perks to unlock that "weightless" perk for Heavy Armor. I'd rather wear light armor from the start, instead of going 2/3-3/4's of the time I play a character stumbling around with very heavy Heavy Armor taking up lots of my carrying capacity.
(i.e, just because something might give a big bonus at level 40, doesn't mean that anything else is useless - you still had to make it through levels 1-39 without it.)
Meh, I've never had an issue with carry weight limit. I think it's related to looting only the master chests and things I'll have a use for, because I know I don't need to sell all of the things I find to get ridiculous amounts of septims I can't spend on anything.
I could take the Steed stone anyway If I wanted to carry even more.
But okay, heavy armour has its drawbacks early on. But I still can't get past the fact that in the end, it doesn't matter what you choose, you'll end up being the same.
Here are some of my ideas:
-The heavy armour perk Conditioning should be changed, so heavy armour would weigh half as much.
-The weight of your armour should affect your movement speed more
-There should be Light armour perks that enable you to dodge attacks, and have jumping attacks
-Heavy armour, on the other hand wouldn't have these perks, but it'd have a better armour rating, and perhaps a perk that has a low chance of absorbing the damage (If they couldn't implement a proper DT system)