> if your train leaves at 0700 you can’t plan to get there at 06:59

Millions of train commuters in the UK optimise for just this sort of thing. Not one minute before, because the doors typically close 30s to a minute before departure, but 06:55 for sure.

I am not a commuter, but later in the day I don’t leave the house much earlier than twelve minutes before the train I want to get will leave the station, which is a third of a mile away on foot, and I will have time to get a ticket from the machine.