Well to honor wishful thinking
I will say that is you take away his invulnerabilty will not make him more Super, but actually more careful to get hit and push him to finish his fights faster in order to avoid injury, this in return will make him "seem" more Super, but in reality he is just being more careful and using his powers in a smarter way.
That and taking away his boy scout behavior.
But honestly if you take away his super strength he is just basically a flying cyclops on steroids, with T-VO and different visions.
IIRC there was a comic on the byrne era that touched briefly this subject as he was loosing power by power, of course the writer forgot on purpose that his speed and strength came from his muscle, back then he still had the bio aura that protected his body from harm.
IMO if you take away his super strength he should not be that super, because like I said, he will just be a "flying cyclops"
Other than that, just take away his invulnerabilty and he COULD be written to look more Super, he won't be more super it will be just the illusion that the writer will give you just by making Superman to use his other powers instead of taking punches to measure his opponent like He does usually.
That's my take on it.