This is part of the BRANDING PROCESS where every additional mention has value even if its negative in its implications.
Republicans became known as the "Stupid Party" in part because they fail to take advantage of modern advertising and market share theory to help win elections.
Kind of puts a lie to the idea that Republicans favor Markets and Capitalism.
This particular election is so close there's no doubt additional disputation would bring out more Republican voters in the end, and also attract some Democrat voters for no other reason than constant repitition of the candidate's names. Remember, both are Republicans so what is to lose.
Your views are just plain bizarre.
Internal bickering never strengthens a particular party's candidate, regardless of the 'publicity'.
To say otherwise is just weird.