Ah, here is the disconnect, and where you would be wrong. What you are describing is called moral anti-realism.
And yes, if all a philosopher is doing, is saying "given a set of unjustified axioms, that we are assuming, this is what follows" then I have no problem with this line of thinking.
The problem that I have, is that the majority of philosophical thought these days, is for moral realism.
They don't just have axioms. Instead, they think the universe itself proves their axioms to be true, and if you disagree with their axiom, you are just as much of a science denier as if you questioned a different expert in a different field.
If only philosophers just admitted that they just had axioms like everyone else.
> It turns out that enough people share these axioms for this philosophical work to be useful for navigating difficult questions
Sure. As I stated in part of one of my posts, if we just want to say that philosophy is a useful way of thinking, then that's fine. Just don't say it is the same as the universe proving your axioms true.
> Can you cite a philosopher arguing that the universe itself mandates that veganism is correct?
It's called moral realism. Most philosophers are moral realists these days. They literally believe that their moral axioms are true, in a epistemological sense. (Veganism is just an example of one such moral statement that many make)
You can pick any famous moral realist, and that will be mostly the case for them.