I could certainly answer my own question by the fact that anything with proper original labels, serials, etc. would be more desirable to have.
However, I have an Apple II from 1978 with green slots, autostart and Applesoft ROMs. Everything looks like original/official Apple parts. But there's no identification at all on anything. Except the 1978 year written on the board. There isn't anything written in the white box on the top left of the board. My guess is somebody cobbled it together and went through the trouble of taking off all its identification. Or if it wasn't frankensteined, somebody went through the trouble of taking off its identification anyway
Is there nothing wrong with owning such an Apple II, or would I be within reason to buy replacement parts off eBay that have labels and serials? How trivial/non-trivial am I being?
I must mention I absolutely love owning it regardless. I got it for $40 from a guy I didn't even know had it... I almost never expected to see an Apple II without buying one off eBay for a small fortune.