Neighbour with serviceontario office is talking to a provincial minister tonight on what is expected/required of them.
Since the official policy of the govt is only essential activities, I would put a private vehicle transfer pretty far down the list of essential to non-essential. If you knew you couldnt transfer the vehicle would you still put it up for sale? Seems like a win for me if the service is not available in the short term. Now with dougies definition of essential, obviously SO is. The question is are essential businesses allowed to stay open or required to stay open?
There are ServiceOntario locations still open, I am pretty sure they are still doing transfers, plates and such. They have mechanics and body shops on the list as essential so I would not doubt that private transfers count as essential. If needing a car fixed is essential, then replacing one definitely is as well.
However, I don't know how busy the ones that are open will be.