You would probably write "Sommer Nacht Traum" instead. The fugen-S of "Nachtstraum" only makes sense, when you connect "Nacht" and "Traum".
(English has no fugen-S, as far as I'm aware)
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'.
It's also interesting when you split up the words. For instance "gebrandmarkt" results in "brand gemarkt". So you extract the "brand" from "ge-...markt".
> It's also interesting when you split up the words. For instance "gebrandmarkt" results in "brand gemarkt". So you extract the "brand" from "ge-...markt".
English has a similar mechanic:
"Let's upcycle this trash!"
"I boot up my computer."
"We spruce this place up."