You're right. They won't take you to court. They also won't renew your lease. Nor will they forgive any nitpicky stuff when you move out. Nor will they provide good references.
There is no reason be a dick about your being late. What is a reasonable time? The rent is due on the 1st, and there is a 5 day buffer to accommodate delays. You shouldn't work to pay your rent on the 5th; you should attempt to pay it on the 1st. And, when you get it a week to make it there the 1st of the month, and it is delayed a bit, it isn't late.
But, apparently, that is a hard concept to grasp for some people.