even when written out non base ten systems, are still possible to be non base ten.

It's only base ten when you convert from one base system to another. We are merely referencing between two base systems when we say that 4 bits is "16" because there are 16 possible options there. 16 is just our conceptualized version and conversion of that base system, in ours. You can read binary as if it's just powers of 2, it's incredibly trivial.

octal and hex are the best example of this, because octal skips numbers while counting. Hex introduces letters. Neither of which fly even remotely sanely through base ten. Unless you're converting.