That's exactly my point.

Some jobs, it's extremely important to be on time.... A fireman is an easy and obvious answer. Also nurses and people who work 24/7 coverage positions. Though, a lot of those will inconvenience one person because the previous shift person will need to cover; then there's arguments about the one vs the many, etc.

But I'm also not taking about 20+ minutes of lateness here. We're taking about <10 minutes. Honestly, it still wouldn't matter that much for most. Even if you're relieving someone.

You should absolutely do everything you can to show up on time, so that nobody is put out because of you, but shit happens.

Anything that demands less, meh?