It depends on the file. For example, I use a similar process where I import Megascans FBX files into SU using Transmutr (similar to Skimp but it has a few rendering-specific tools in addition to obj/fbx import and geometry simplification). The FBX files are pretty light since most of the heavy lifting is done by the materials and associated maps. See below where the diffuse map is over 40 mb by itself.
To your original point, sounds like you need to confirm if the materials associated with your FBX file are available to you? If not, is it worth the time to re-texture? To me probably not but again, that’s file dependent.
I’ve never seen anyone preserve animation setups from 3DS Max to SketchUp since SketchUp doesn’t natively support animation beyond using Scenes. Lumion has it’s own camera/animation process. If anyone knows differently please correct me here.
Feel free to post a link to the file you’re using or where you got it from and I can look closer at what you’re working with (re: materials import, not animation preservation).