5e PCs can have magical effects that change their carrying capacity and such while leaving combat numbers still in bound accuracy ranges. 2nd level enhance ability bull's strength doubles it for PCs for example. Some superpower type things seem amenable to the blessings, charms, or epic boons type of things in the DMG that PCs can get.
As someone who had multiple subscriptions to Marvel Spiderman titles for some years (Amazing Spiderman, The Spectacular Spiderman) his strength lifting capacity was rarely a thing that came up in the ones I read. He would jump and dodge, throw punches, and web sling all the time. He would occasionally lift heavy things up or tear them away to get to someone who was hurt, but I don't remember him throwing cars, though I think I recall him lifting one in a cover.
A quick image search for
Spiderman throwing a car brings up a couple images but not a lot.
View attachment 261975
View attachment 261976
It is a Spiderman thing but I wouldn't say a core thing for him. Probably not top five things I would call to mind in describing him.