It does. You can pay 5 bucks to get a dev account on the play store and then upload your extension there (unlisted if you want), and install it from there, and you won't get the nag popup

Yeah it shows a tiny little balloon-tip style thing over the hamburger menu.

I was going to say it's not a big deal but I quite distinctly remember it being the entire reason I switched to Vivaldi instead of Chrome. Full extension store compatibility with none of the nagging, and all the other cool shit it does is just a bonus at this point.