Reagan and Volcker clashed (at least somewhat publicly). Not long after Reagan came to power, he pushed a massive tax cut that swelled the deficit. Volcker publicly complained that they were too early and were hindering his anti-inflationary work and then proceeded to significantly raise interest rates and only cut them in 1982 after taxes were raised (to lower than they were before the previous cut, but a significant raise nonetheless).
I’m not saying Reagan was right or wrong, but one could argue that he made the fight against inflation (and the early 1980s recession) worse than it would have been had he taken a more measured approach.