But, this is the problem. The 1e Cavalier is only one kind of paladin.
5e has multiple types of paladins. Sure, an Oath of Devotion paladin is going to worship Pelor or Heironeous or someone similar and yup, Captain America is the go to archetype.
But, again, that's only 1 kind of paladin. Number 1, an Oath of Conquest Paladin most certainly wouldn't give two copper pieces if you wanted to sacrifice some peon. His fault for not being strong enough. Heck, ask me nicely and I might even help. So, right off the bat, you cannot apply older edition standards to all paladins.
But, let's go with the paladin that started all this - an Oath of Ancients paladin. Now, Captain America is very much not the archetype here. This is a paladin that likely worships some nature god - Mieliki or Silvanus. He's tied to the fey courts and bound by fey morality. A better archetype might be maybe Storm from X-men? Maybe? I'm actually rather drawing a blank here to be honest, because this type of paladin is new and I'm not sure where I'd look to for inspiration. But, I do know that it's not Captain America. I can't see some Nature goddess insisting on sacrificing yourself for others. Not when the primary focus of the oath is life and living and beauty.