I think Ole is not going any where in near future he is doing some good job now need some time hopefully he will be good enough in coming days because just showing door to manager is not good for them to improve team performance they need to do some more work on other issues as well and improve quality in buying players.
Ole is doing great , it's just some players are letting the team down. Bit of defensive players and an experienced striker in Manchester United will be enough to keep them back on track IMO. Man Utd can do whatever they want like with changing managers but result would be same until they bring in some good players as you said.