Is there a difference between the present progressive and the future going to when talking about future plans? Do native speakers care about that when having a casual conversation?

Honestly, when I read a grammar book, and then check other resources, I tend to get confusing information about the future going to vs. the present progressive. I know we use both for plans and arrangements, but at this point, I don't see much of a difference between them.

Would it sound weird for a native speaker if someone used the future going to instead of the present progressive to talk about future plans and arrangements?