One or both parties comes in with a list of objectives to cover, and the parties cover these objectives in order of importance. Updates are given, decisions are made or discussed, planning happens. This style follows the “don’t waste time with pointless meetings” mandate and ensures that things will happen. The downside, of course, is that sometimes you wonder why you needed to do this in a synchronous manner. Often the list is somewhat artificial and made up of things that could have been handled via chat or email. If you decide to adopt this style, make sure that the list you bring and the lists you encourage your reports to bring are meaningful for 1-1 discussions. Make sure there are nuances that deserve verbal communication in the 1-1 setting.
In general this style is very professional and efficient, if sometimes a bit cold. It forces your reports to think beforehand about the meeting and what they might want to discuss. One manager I knew used a shared Google spreadsheet to keep a running list of topics for discussion that both he and his reports had access to, so each could add to the list whenever a thought came up, and they would review it during the 1-1. It also gave both parties a chance to see what was on the other’s mind before the 1-1 happened, so that they could prepare.