I don't know why the latch would stick when the ball triggers the switch, but not by hand. Always working by hand tells you the coil is good, and not the issue.
What I was trying to get across is that when you trigger it by hand, you're pressing harder than the ball will do, and probably for longer. So to me, the cure would be to adjust the switch so it makes much quicker when the ball starts to roll over it. That gives a longer, possibly stronger connection.
It's possible the latch is sticking but why only with the ball on the rollover? This just smells like a rollover switch adjustment issue to me.