Rod, thats a nice question, it really is. I think part of it depends on where you are as far as "I need a job now" vs "I'm shopping until I find what I want", sometimes we just need to work. But if you have some time, then I think having a conversation about the style is good on the second interview. First time around both sides screening, at the second interview its fair to dig deeper. I think one easy question is about how work is managed. Jira, ADO, etc, what system do you use and are you Scrum, Kanban, something else? Followed by how do I know priorities and when priorities change? You might also ask something like "whats the best way to communicate to you questions or status on a particular task?"? Or more simply, on a daily/weekly basis what do you expect from your team beyond the technical part? Ideally you're getting into a conversation where you can explore how the team works and that should reveal quite a bit.
I think if you want to push a little, ask them how they handle missed deadlines or mistakes, and how those above them handle it. Is a rollback a sign of professionalism when sometime went wrong or just a fail?
I'll think on this more .