I don't follow your logic about Clark only offering salvation to the strong. That makes no sense to me. And if it's a comparison to Batman....who understands and empathizes with the downtrodden and weak more? The guy who grew up on a farm, watching his parents worry about paying their bills, or the trust fund kid who lived in a mansion and could travel the world at a whim to find what he wanted? Clark can throw a bus but I can relate to his background far more than Bruce and his silver spoon.
Yes, Batman is a low bar. Not so much decades ago when the man was capable of a smile, but especially in modern interpretations he let one bad day define his life and never, ever moved on from it. His parents' deaths aren't just inspiration, they're the main driving force in his life, decades after their deaths. He allowed himself to become an emotionally stunted control freak who is, at best, cold to his children and friends and at worst straight up abusive. The only thing about Batman worth emulating and admiring is his dedication and determination. But he's not a good man. He's a f*cking monster who ruins every life he touches....he just happens to fight on the "right" side, so all of his weaknesses and sins are forgiven.
When Clark is written as perfect, he's being written wrong. The guy has plenty of flaws and faults. The difference is, he tries to rise above them, not wallow in them and call it a strength. Clark *can* be petty and lazy and prideful. He *chooses* not to be. That's the difference; despite everything Clark has suffered, he refuses to let that pain define him. That's real strength, and it has nothing to do with how much he can bench press. Clark could lose every erg of power he has, and he'd still be a better hero and role model than Bruce.
And I say this as a guy who enjoys Batman as a character. I just recognize that he's no role model, he's just a broken little boy who can't let himself heal and is afraid of being happy.
What, Clark sitting on the couch relaxing? Of course that's Superman. There's countless stories written about what Clark does during his down time, the kinds of hobbies he enjoys, etc.
Or do you mean picking his nose? That's not a quirk I'd normally associate with Superman, but who knows what kind of trouble Super-boogers could turn into? Best to pick them off before they can make a mess.