The poll is pretty even because it's a moot point and only the client, who may feel like their getting the shaft because the pro would rather win with his own dog, should have a problem with that. I don't think there are any.
As a client of a pro (which i am not) I think i'd also be more concerned that a Pro would give the nod to the dog owned by a 4-hole, long-term, grounds owning client than my 1 dog. Or the client dog that hasn't done anything in a while or the "superstar" dog on the truck in a high-point running. The pro-owned dog would be the least of my concerns.
That is exactly the point -- so client and pro will work it all out -- if you dog's not on that truck -- your problem is what ???