Gov. Charlie Baker has an R next to his name, but many Republicans don’t think it belongs there.

Ed Lyons, a Republican activist who is a big fan of Baker, said the governor’s acceptance of the grand bargain in the recently completed legislative session disturbed many in the GOP. The grand bargain embraced legislation raising the hourly minimum wage to $15 and mandating paid medical and family leave as a way to take ballot questions off the table that would have accomplished both actions more quickly and would also have cut the sales tax to 5 percent.

“They are worried. A lot of Republicans are losing faith in the Republican character of our governor,” Lyons said on CommonWealth’s Codcast. “Charlie Baker doesn’t sound like the Republicans they’re seeing on Fox News.”

Lyons said some Republicans would like to see Baker go to war with the Democrat-controlled Legislature and fight for more conservative causes. He, however, says Baker’s strength is in choosing which battles to fight and framing issues differently than a Democrat would.