Foundational-ism is something that Hegel goes against. That there are some ideas that one starts with that are beyond reproach or correction. That is not the same kind of foundational kind of belief that Michael Huemer starts with.  With Huemer, you start with prima facie evidence. And if afterwards new evidence comes to light that shows you have to bring corrections to your beginning belief, then you do so. And how do you know which is more likely? That is by probability.
I do not see that Hegel would have disagreed with this.
Hegel never went into the question rationalism as opposed to empiricism in the first place.
Nor did he think he could derive all science by pure reason with no empirical input. [You gave to see John McTaggart to see these points. It is hard to see them in Hegel himself.]