Genec
That does not look like an MUP to me, it looks like a bike path that pedestrians should not be using much. MUP's are intended for a multitude of users, cyclist of whom are the ones with the highest risk of hurting someone, and should be the ones to shoulder the majority of the caution.
I am not saying you shouldn't ride on an MUP. What I am saying is that if you want to act like you have priority, you should think again. You need to be the one to yield. If you don't want to yield, you should be on the road.