I believe the reason the GOP is worse on honest elections is:

• They deny the integrity of the 2020 vote with no evidence.
• Without evidence of voter fraud, they seek to make voting more difficult
• They are intimidating people who drop votes at ballot boxes
• In Florida and Texas they are prosecuting ex-felons who have been told they were allowed to vote, instead of simply removing their ballots and reminding them that can't. This tactic will reduce voting of people who may have had a criminal record in the past.
• They are seating election deniers in positions of power in canvasser and secretary of state positions so they can attempt to "Prevent another 2020"
• They support the attempt to invalidate legitimate electoral votes under pressure of a violent mob on January 6th.
• They are leading the charge in Moore v. Harper, which will allow state legislatures to set the terms for elections without judicial review.