As I watch professional tennis daily, I know that you are able to wear the JUC (small and classic) while playing tennis as well as the small Love as I have seen several players wear them.
Halep - Small Diamond JUC
Sabalenka - Classic Diamond JUC, Small Love
Kenin - Classic Diamond JUC, Ecrou
Anisimova - Classic (Diamond?) JUC
Kudermetova - Small (Diamond?) JUC, small Love
They just NEVER wear the classic Love due to all the vibrations/movement from tennis. I can personally vouch for this as my classic Love got very loose after playing only 1 hour of tennis even with a wristband on. However, my small Love was perfectly fine.