I only have a limited math background, but-
You're only looking at the symbolic part: deriving a statement from prior statements. I agree that the derivation either is correct or isn't.
But then there's the rest: the philosophy and intuition behind the symbolic manipulation. You can skip that if your goal is to use the results, but I don't think you can skip that if your goal is to develop the field.
I feel great sympathy for the mathematicians. This must be gut wrenching. It will lead to progress eventually, for sure, but right now a lot of them are in a bad place.
Edit: for readability.
I wasn't making a value judgement. I was being scientific.