Not no but hell no to loyalty oaths.
Then don't join a political party, don't run or vote in their primaries. There is no constitutional right to you being able to be a Republican. And as much as many people here say they hate the Republican Party, there is a simple answer - go away.
If you are going to use a political parties infrastructure to either run or promote a candidate, the least they can expect you to do is vote for it's eventual nominee and not run a sore loser indie campaign if you or your preferred candidate is defeated in the primary.
“Not no but hell no to loyalty oaths.”
Reminds me of political parties in countries with dictatorships during the thirties in Europe.