I genuinely feel it depends on their level of comfort as a person and the reader’s preferred incarnation!
Golden Age? Clark is the disguise.
Silver Age? Clark is the disguise, but he gets to have fun as Clark too.
Post-Crisis? Superman is the costume he wears to help people, but Clark is the core.
Since I grew up on Post-Crisis Comics, it’s why I tend to call him Clark more than Superman. But I also totally get those who prefer other incarnations as well.
Reeves Superman is also strongly set in the Gold and Silver ways, with Clark being a disguise.
I wonder if there's a Golden Age story where he has to wear goggles of some sort because his heat vision is going out of control or whatever and the drama comes from having to hide his face because people would recognize him as Clark since they look too much like glasses.
Comments
Golden Age? Clark is the disguise.
Silver Age? Clark is the disguise, but he gets to have fun as Clark too.
Post-Crisis? Superman is the costume he wears to help people, but Clark is the core.
Reeves Superman is also strongly set in the Gold and Silver ways, with Clark being a disguise.
Batman and Spider-Man on the other hand...