Are these pushed by hand? I'd believe if you said it happens in the UK. Fabs are still stuck in the 90s.

Joking.

There are videos from JLCPCB (one of the biggest). That stuff is 90% automated.

bias (even blind) are certainly automated these days. only time i've seen people manually via in the last several years is using a pcb mill, and little copper rivets you could slam thru a fr2 board for quick in house top/bottom prototypes