I've never been entirely sure 'Hondo II' was actually a thing. The logo started appearing on Hondos from the early 70s & I'm inclined to think the part that looks like a Roman numeral is (or at least was originally) just a bit of the design, but it sort of stuck as a name. Later Hondos have a couple of different logos that don't have a number.
Aria Pro II was a rebrand/update of the Aria brand, so the Pro II bit was meant to suggest improvement/advancement - although unlike Hondo (a US brand originally owned by International Music Corp) it's proper Japlish & therefore borderline inexplicable. The Aria & APII brands continued side-by-side & have been known to appear on the same instruments, so it's anyone's guess. The parent company is Shiro Arai Co, so at least you can see where it started!