Ticket order vs Priority flag

I've been a product manager for multiple years, and feedback has been that I'm very good at my role. I was promoted 3 times within 2 years at my previous company. Engineers and stakeholders have commended my approach, collaboration, and team building. My team became very agile, even changing to continuous releases, and 1 week sprints. We had a very tight feedback loop and I loved it.

After an acquisition and layoffs, I moved companies and struggled with this new company. The struggles have mostly been that the team is newer to Agile. I've made some great strides in my short time there, but I often feel like a lone voice in a company that only knows Agile from a few training sessions (not the way to implement Agile, but that's another topic). It's messed with my head enough that I question whether certain things are common practice or just how my previous company did things.

One issue I keep running into is that the team doesn't tackle tickets in priority order. Tickets within the backlog need to be in priority order. My understanding has always been that tickets within a sprint should also be in priority order. I've always been under the impression that this is common knowledge. Even though we talk about it as a team, the engineering manager and SM (who's part of the problem, again, another topic) say we should use the priority flag instead.

My take is that the priority flag is better used when trying to manage the backlog as a whole. The order of the sprint is priority order and tickets need to be tacked (generally) in that order. Am I off? Is this not common practice?