@ChemistKyle89 I just think we should take into account what methods fictional characters usually use to lift heavy weighs before making any change to the Peak Human tier.
For example,
Hitoshi Shinsou from My Hero Academia have feat that consist in him pulling two steel pipes out of their place using his hands, with the final result being Class 1. However, if we raise the upper limit of Peak Human to somewhere around Class 5, this would make Shinsou Peak Human, which would imply there are humans in this world that are able to replicate Shinsou's feat, even though in the way he does it, makes it completely impossible for any real life human.
I suggested using deadlift records because we can all agree that the method is the most similar to how characters lift heavy things in fiction. You're not going to see a character lifting a car using leg pressing, for example.
As for characters like Batman and Captain America who do have these kind of feats, making them Peak Human would be still out of place if you think about it, as they clearly have many superhuman feats, and those feats that you listed are mostly just to support their ratings. Batman can lift part of roof, a giant boulder, a statue, and even part of a building. Honestly having him at just Class 1 is not even consistent at this point, he should be just plain
SuperHuman, but that's just my opinion.
The same is applicable for Cap. However, the feat that you listed for him is not being used on his profile, it just says that he is Class 5 for lifting a tree, even though that's actually Class 25. But whatever, Marvel and DC pages are not the most consistent profiles out there.