No, not at all. This stems from them compiling their own kernel for a minimal experience, which no distro which ship for default at all. This issue does not stem from the general linux experience, but the incredibly niche experience of micro-managing your own system.
no not really. Using a stupid Projector is just as easy like on Windows on most Distros.
Just some while ago I was chilling with friends and one dude had a little Projector and I for some reason always have my Fedora Laptop lying around in my Car. So I connected that thing and we watched movies. Plug and play. No one even noticed I use Linux. (I mean they know, but I mean in this case they were not reminded or anything)
Started Movie, plugged in the Projector. Just worked.
The only people I accidentally remind that I use Linux all the time are my coworkers. Because I work in IT ... on Windows.
And it happens all the time that I mumble shit like "On linux this would be way easier"
To my friends, believe it or not. I actually don't really talk about it. Just to that one friend who is into that stuff himself.
It's the Arch users you think about who can't shut the hell up about it.
This is not an Arch issue at all, this is an issue of the dude compiling their own kernel and leaving out a ton of drivers for the minimal experience, default Arch will have plug and play HDMI support.