I think every voter needs to know where their vote lies, when it's delegated. Someone will only know where the vote of the person they delegated their vote to, currently lies. That is, Bob has delegated to Alice, Alice might have delegated to somebody and so on. Bob sees that his vote is on Yes, and so knows that Alice's vote is on Yes. Alice knows whether she voted for Yes or if she has delegated her vote.
As I posted, secret / anonymous votes are essential as long as there is economic or other inequalities within the voting population. Bribery and enforcement are serious problems. For instance, it is well documented, that you can buy the national "mail votes" of Italiens living in Germany for as little as 40 Euros!
One might argue, that for the voting system within a party, secrecy is not as important. However, many, many members of the Pirate Party in Germany broke up with the party, exactly because of this missing feature, when Liquid Democracy was introduced.
Re: race condition: I just assumed that votes would be secret. Are you sure you want to jettison that feature?