Thank you for the over and above response!
My quandry is that the text that is really the "H1" on each page is done in a certain styling on the web platform such that we can't control the text for it to be an H1. We can't choose it with a menu or do it on the back end through code and tagging. (Maybe we could if we really dig into it, not sure.)
The text is very clear on the page and functions exactly in the way I believe an H1 should function, clarifying what the page is about (similar to the page title but not always exactly that same words). We like the styling, and it's clear and visual. I was wondering if we should worry that tools like Moz Pro don't see it officially as an H1. It seems from most things I'm hearing is that it functions as an H1 already and we don't need to spend the time to get it to be stylized as official H1. That's why I was wondering exactly what H1s are for and why they are important. If it's for directing the viewer on the page, we've done that. If it's for something more that needs official H1 "status" we don't have that.