I've run my team's stand-ups for several years now. I find without going person by person there is less communication. I still restrict each person's comments to blockers and their agenda for the time until the next standup (not daily). It's not uncommon for "no blockers, tickets X, Y, Z for next day or two" to be it for a report. It's not common but occasionally this will remind someone else of a blocker they have which they can chime in with during their update or else at the end if they've already gone.

Agreed with this. I'm actually curious what level of engineers Jason is leading. If it's a group of senior engineers, I'd imagine everyone already knows what's expected of them, but a group of junior engineers might be a different story.

Yes! At my last workplace we switched from person-to-person to task-to-task and it worked great.