I just installed DD a few days ago, but I'm having no conflicts at all right now with DD or WW that significantly impact any function of either set of mods. I'm not sure what's happened with the beef between DD and WW but it's something to chew on. The only error exception I get is with Nisa's but everything works. I guess everything except the actual sharing of the animations, WW gets precedent for the animations so only so many are available through DD directly. I have to use both to achieve certain animations (and much more involved set up, templates and traits, settings etc) but I mean, I can't really complain.
I am not using their latest edition of WW from their Patreon, which also loaded with no errors, but also without any of my household members visible (no picture, no icons in the HUD). I could move around and it loaded places but I couldn't interact with people or objects. ((EDIT: Found that Nisa's is the issue even though it's not always impacting gameplay)).