Another comment cited this Dan Luu article:
https://danluu.com/keyboard-v-mouse/
Apparently a lot more claiming evidence exists than sharing of actual evidence. One of the few things shared was a pseudoscientific explanation that stated precisely the opposite of your (and my) subjective experience: That using the mouse is less distracting and can be better committed to muscle memory than "command keys".
I think that is patently false, and don't thing Tog should be taken as anything but a marketing hack.
Disclaimer: my knowledge of Tog is limited to what is presented in that Dan Luu article.