Maybe it's because I have less allies on at the same the time, but I haven't noticed an issue with people not being able to participate, and I usually need to hit my own raid bosses with my normal squad before sharing to make sure it'll die quickly. Ideally, I want every raid boss I summon to be dead before I finish another map so I get another chance to summon one and get more boss finding bonuses. The seed bearer is sort of an exception because of how easy it is to share (as long as people are aware) and how nice the rewards are, but for most bosses I feel like using any squad power is fine. People who are clearly using multiple raid point attacks or using multiple 1 point attacks with a full power squad are pretty silly though.

I guess I'll switch to a weak team for tagging public raids from now on, although I usually save all my points for my own raids until I run out stamina anyway.