This may have been covered somewhere before. I'd like to purchase a team base. And, I just bought the Guardians of the Galaxy Inhumans and Teen Titans Ravagers Fast Forces packs neither of which had any team abilities printed on the dials (a surprise to me). Thus, I'll use those as an example. While it's plainly obvious that units like Kid Flash 002 (team/asset abilities) may be put on, at least, certain bases (T-001 and 005 here), may units without appropriate team and asset abilities be inserted into a team base?

First, there is no correlation at all between team symbols and team dials. They have no bearing on each other at all.

Second, only switch clicks can be attached to a team base (you literally remove the sculpt from its dial and snap it into the team base sculpt). So if it isn't a switch click, it can't be part of *ANY* team dial.

Last, not all switch clicks are necessarily compatible with any given team dial. You need to look at the character cards (of both the character and the team dial) and see who goes where.