Yes, in a circle everyone can see who picked what. Polls in a family circle are open: the card shows each person's choice, and the same goes for any reason you add with your vote. Polls in public conversations work differently: votes there are secret, and only the reasons people write carry their names. In either place, you can't see the results until you've voted or the poll has closed, so early numbers don't sway anyone, and you can change your vote until it closes. If you'd like a family poll where choices stay private, you could ask in a private conversation instead, but that's also visible to everyone in it, so for truly private answers a short one-to-one message is the closest option.
Also discussed here:
- Why can't I see the results of a poll before I vote?