Do radio watches need quartz? I’m not sure where it would be needed
Yep. Same with atomic clock. AFAIK, the atomic side is set to tune the quartz side of the clock, not to completely replace the system.
https://www.bitbubblex.com/uploads_qsa67WW2_Ju12_55gddG34/01bd0065b8cdcf0e06172751393512a7.jpg