Answer: A lot and a little
The result in Ohio's Senate primary is probably the most germane to Trump's influence in the party (or at least among the primary electorate) because Dolan alone has sometimes distanced himself from Trump. Now, he's decidedly less Trump-skeptical this time around than he was in 2022, but he's still the closest thing to a more pre-Trump traditional politician in any of these races. Moreno, meanwhile, was an also-ran until Trump picked him as his champion. (He flunked out of the 2022 race despite self-funding.) If Trump can push him to a win like he did J.D. Vance two years ago, that's a sign of strength. In the other contests, I'm not sure there's much to be gleaned. Mike Bost and Darren Bailey are both running very Trump-heavy campaigns. Bailey wasn't endorsed by Trump, but still features him in his ads! Not sure it says much if that's a winning message. And in Ohio's 9th, Merrin may have the endorsement, but Riedel has been working overtime to show his loyalty after those embarrassing clips leaked. Plus, Merrin's only had the endorsement for a few days, and it hasn't featured in any TV ads in the race.
—Jacob Rubashkin, Inside Elections