98% of everything should Just Work, although some software may drag in heavyweight dependencies. I’ve used TDE’s versions of konqueror and konsole from inside fluxbox and other lightweight setups, called up thunar from within TDE, etc. At most, you might have some theming issues. The only thing that would be 100% incompatible would be trying to run a wayland-only program from inside an X environment.

Most display managers should be able to handle different window management sessions without issue. If you’re looking at an X environment and really want to start from the WM level, I’d recommend sticking with something like fluxbox, fvwm-crystal, or even enlightenment (which is somewhere between a WM and a very lightweight DE). Avoid anything described as “minimalist”, unless you like the idea of running around adding other software like dmenu and feh to get basic functionality (and like reading documentation).

I vote for “slopesque”, even if it has more letters. It doesn’t hurt that the most common English word that uses the -esque ending is “grotesque”, which this whole phenomenon is.