On page 9 of the rules, in the Stage 2: Voting section, we have the following two statements:
2nd paragraph (emphasis added) wrote:
If there is a tie for first place, each tied player adds 1 to their total for each orthogonally adjacent tile with their
master pawn on it. The totals are then checked again and the winner determined. If there is still a tie, then the tile
does not resolve this round, and all pieces remain on the tile.
4th paragraph wrote:
Return all the neutral liveryman pawns on the tile to general supply.
So, in the case of a tie, do the neutral liverymen stay or go?