I am purely talking about changing the spelling. The Fugen-S is something you actually pronounce, so if you want to keep the language intact and spelling phonetical, you would keep the Fugen-s.
Yes, it might be a bit weird to you. But it's no weirder than other changes we make to words in German because of grammar. Like 'kleiner Hund' vs 'kleine Katze'. Adding an 's' on the previous word is no worse than adding an 'r'.