My experience living in The Netherlands (which has a similar system) as a non-native whose mothertongue is from the Romance branch is that you eventually get used to it. I think that’s because as your language skills improve you just stop interpreting the parts of the number individually and handle hearing and speaking those “nastier” blocks of two digits as if the whole block is a language expression.

Even better the apparently flip-flopping between one way of ordering digits and another one in longer numbers (for example: “two thousand and two and ninety”) actually makes the strategy of “everything between 0 and 99 is processed as an expression” viable, whilst I’m not so sure that would be possible if instead of 100 numerical language expressions we had 1000 or more.

(If you’re not a Franch native speaker and you learn the language you might notice something similar when at some point your mind switches from interpreting “quatre-vingt” as “four twenty” to just taking it in whole block as an expression that translates to eighty)