Would make sense, wouldn’t it?
I know this doesn’t help your current issue, but I have the CMC-TP controller and there’s a tap tempo mode on it, selectable with one tap of the mode selector on the slider (while holding shift). I can’t even express how much I prefer the CMC-TP (I also have the CH, FD and QC) to using the mouse and keyboard. It makes my workflow so much quicker and more intuitive. Transport, set locate points, drop markers, locate, scrub. I would never want to work without it again.