Is an external SSD not an option?
Is it? Can you make an iMac start up from an external disk?
If you're taking it apart to fit an SSD you might as well put more ram in it at the same time.
Indeed. Although if an external SSD is an option, that would be a lot easier all round!
Macs of old always used to look for an external OS first, when starting up.
I think that is still the case, which is why on my 2012 machine, it checks the optical device - remember them? (you can hear it scanning it) before it starts up.
I'm in the same boat: I've got a late 2015 iMac that can be frustratingly slow at times. I don't fancy taking the screen off though...
Mine is at its worst when starting up or launching browsers.
Once it is running, I can live with the speed it works at.
It's only glacial when you compare it to my 2020 MacBook Air.
ETA - According to the Mac guy in our IT department at work, the biggest problem with taking the screen off a Mac is "Fuck - where am I supposed to put this now?" - Space being an issue.
It isn't for me as my desk at home is 2440 x 1200