Reagan ran and won on tax cuts in 1980 and 1984. Clinton ran and won on a middle-class tax cut in 1992. Bush and Clinton badly hurt themselves by reneging on those promises. And House Republicans, back on track, again ran and won on tax cuts in 1994 so convincingly that a Democratic White House, having ridiculed the idea for months beforehand, was forced to propose tax reductions of its own almost immediately. Gallup has asked the same question 28 times since March 1947.
People still hate taxes.
So, yes, Republicans can too win by enacting tax cuts. And we probably won't want to try winning without having done it. It all comes down to this. It will always be an uncertain claim, in any case, given the macroeconomic exigencies of interest rates. And kids are kids, no matter who they live with.