This aligns pretty closely to the concept of a "flipped classroom" except for it's "flipped standup". Spend more time talking about getting unblocked instead the repetitive ceremony of "here's my update".
It already gives you suggestions based on your current conversation. So if you're looking at a team member's work, it'll suggest things like "show their open PRs" or "anything blocked." But learning your patterns across sessions and surfacing them when you first open the app is a great idea, I'm gonna add that next!