I just came home from a road trip, 2000km, through north-western europe with a new tesla model 3.
I left 95% charged from home. The std. wall charger delivers up to 11kW (from solar panels).
22kW is usually not possible here, because of the electricity company restrictions, except at very high costs.
I only used tesla superchargers during the trip.
I forgot my type-2 cable, but there would not have been much reason for other networks in this case:
All superchargers were almost empty or at most half full, and available at convenient spots during the trip.
They have been open to other brands here since a few months, but I have seen only one other car at a tesla supercharger.
Mostly we had a meal or a snack/coffee during the charging, with a bit of planning (if there are no queues, hope it remains like that) you don't loose much time, maybe a bit less than when filling up gas.
One negative point: a few superchargers were up to 5km detour (we avoided those with longer detours and overrode tesla's route planning in one case).
There are no superchargers directly along the autobahn yet. I think that being exclusive to a brand would not be allowed if you want to get a spot along the autobahn. I assume it works the same way with filling/charging stations along the highway in the USA. I think that might be part of the reason that Tesla is opening up their charging network (apart from profit, hope they dont get too greedy).
In parking lots I have seen other brands being charged at 11kW with a type 2 cable. I think the rates are mostly higher than those of tesla.
I did not observe any Tesla being charged at a 3rd party charger.
But as backup during the next trip, I have now registered an app from a germanhy energy comnpany, for 3rd party networks that should work throughout europe. In rare cases it might come in handy to add a few extra kWh to avoid an extra supercharger stop later.