That is not always true and not always with everyone. Many people who have ADHD have unsolvable time blindness. They don't mean to do it but their brain chemistry literally disallows them from not doing so in many cases.
Correct. It's been a lifelong struggle for me. I have found outside ways to address it, but even in my 30's I will forget to eat meals or do chores if I don't set disruptive alarms to do so.
That's exactly my point! you do set alarms, you seek the solution. You feel bad when running late so you mask or compensate. If you lack empathy or seek attention, you wouldn't do those things.