Drs. Christopher Cooper and Michael Bitzer look at the question of whether Democrats are being "strategic crossover voters" in Republican primaries and find that, at least in the Madison Cawthorn Republican primary for the NC 11th Congressional District, enough registered Democrats-turned-Unaffiliateds participated in the GOP primary to perhaps doom the first-term controversial congressman.
Their analysis is at: https://www.washingtonpost.com/politics/2022/06/16/democrats-republicans-primaries-georgia-colorado-voting/.