I have not been using the tadpole and basically had only some class or background statement options in conversations, which also happens with the companions. Also as far as I understand it the tadpole is available to every character that is part of the playable group. So nothing about it would be limited to Tav.
I was hoping there was some special Tav-centric explanation for why everyone gets dreams when Tav uses the tadpole and doesn't get them when Tav doesn't. I guess that didn't pan out.
To be fair, we have only seen Tav's story so far. Maybe the others will have the tadpole without the dreams. At this point its all speculation, but the other have all the tadpole in their heads and at least as companions can use its power from what I've seen.