Pinning - perpendicular to the seam line or edge or parallel to the edge or on a slant - depends on what you doing and why.
How we pin, tack/baste, mark out, cut, sew, handle fabric etc. etc. etc. blah, blah - there are different methods for different reasons.
Do what works for your situation and what you are trying to do.
Best not to overthink things.
Perhaps what is more important is to match the size of pins for the job in hand. I do inwardly cringe when I see students working on fine lightweight dressmaking projects using whopping great big long and thick pins that are meant for crafting or quilting. Oh how they love the pretty pearly colours and the pretty shapes, sigh.
Also I cringe when I see them pressing over plastic headed pins. Inwardly I'm saying Glass head pins, Glass head pins, Glass head pins, as I get the iron cleaner out ready for them to remove the goo from the soleplate.
That said, generally it's even more important for them to keep sewing and learn what works for them with the equipment and tools they have already.
Bit by bit they pick up on how to solve problems, then work in a way to avoid the problem, and along the way discover different ways of doing things and all sorts of products, tools and gizmos. For my own sewing, I use pins only as and when I need to but I don't like them - always ripping my fingers on them and I hate, hate, hate that.
When sewing I tend to sew without pins and when I do use them, I try to use as few as possible.Perpendicular to the seam line or edge or parallel to the edge - depends on what you doing and why.
[Edited to remove all the stray font and size tags - Acorn]