I have had the same problem with some of these videos on binding! Especially the ones that use fabric that looks the same front/back. I actually have a binding tool too, though I forget which one.
The last time I did my binding, I used this one (which didn't use a binding ruler/tool). I was pleasantly surprised that I followed it, that my pieces were sewed together the correct way, and it worked!
https://www.youtube.com/watch?v=nr_QJLeyIaQ&t=683s