>Why do you think one party or the other is worse about honest elections?

Probably because the last Republican president has continued to deny that he lost an election, and even claimed the one he'd won was also fraudulently rigged against him via "millions of illegal immigrant votes", and the vast majority of that party continues to side with him.

>but they are not doing investigations into voter fraud

Many studies of voter fraud have been done and the end results have always been extremely minimal. The fact that Conservatives dislike hearing that fact doesn't mean voter fraud is rampant, specifically only when they don't win, and only when it comes to key states they lost. If they actually had full fledged concerns about inaccurate results they wouldn't only call for audits in states they didn't win. They also wouldn't have chanted to "stop the count" or "count the votes" in certain states entirely dependent on whether Donald Trump was winning at that moment.