I have never been in a team where managers were present at the standup meeting. In fact, sometimes I have no idea who my "manager" even is. We've got a team, we've got stakeholders, we do the work. If a manager wants to join, that's fine, but he's not in charge of that meeting.

All this talk of standup meetings being primarily for managers is really weird. It's not for managers, and they have no reason to be present. It's for the team, to improve cooperation within the team. If the team has a better way to accomplish that, then they should use that.