I love this question!
My answer would be 'Yes' - there is a lot of accuracy in what you suggest. We even use present simple to talk anecdotally about the past, e.g.:
'I was in the city centre yesterday, and I walk into this shop and see this guy who asks me if a want anything...'
We use pres/simp to describe facts, timetables, schedules, which are either timeless themselves or can relate to the future. Interesting question. Thanks.