What do you think Peter’s (as Spidey) brand of humor should be?

[Güicho]

It's not one or the other, it can be and has been both...
Spidey has always made silly pop culture reference quips.

That example is still him cutting against his opponent and doesn’t feel unnecessary or forced.t

... while making silly pop culture reference.
That's specifically why I chose it, it's both! Silly pop culture reference and quip against his opponent.

Hence my point to you, it's not one or the other, as you describe and your thread implies.
He can and has always done both!

And could alwaysd be hysterically self-deprecating too.

Also LOL "Star Wars 2".
1978, It didn't have a name yet!