Well, I don't think one man can speak for an entire party and it seems he would have a reason to say things like this to hurt them (true or not), however I think this issue points to a larger problem which is that we should have a neutral entity in charge of voting and not the various local/state governments of each state.
There have been a few power plays (such as going to judges of a certain party affiliation to get them to shut down polls early or extend polls or whatever) that make it very apparent that neither Republicans nor Democrats have a true interest in being fair, but rather to take whatever advantage they can get to win elections.