When I lived there. I have evacuated Montana due to its being overtaken by the magat class.
Yes, I was able to track and see wolves year round, it was fun and exciting. They will see you first and avoid you but parallel your trajectory to make sure you don't go too close to either their den or rendezvous location where pups might be. I could feel their presence and their gaze even when I couldn't see them. I often saw them once I got back to the car or far enough from being a potential threat, they would show themselves. It was so cool to actually see them after all the fighting in board rooms and public hearings I witnessed and participated in.
I was also blessed to actually meet, in person, a couple 'ambassador' wolves who were human friendly, they had been captives somewhere prior, and traveled around the country as educational ambassadors invited to many gatherings. Got to hand feed them and look them right in the face as they tried to lick my teeth - the way they greet each other. They were friendly but certainly NOT regular dogs. I have pictures of the encounter. It was amazing, something I'll never forget, it was magical and so many other things, but also removes any idea that they are not strong and wild.
There are many things I miss about my old digs around YNP but it became too much to deal with having too many haters who knew my identity, the threats were a bit much and after a couple decades of it, my friends had it worse. I decided to go where nobody knows me. So far, it's a success but it's only been a year.
And, because my handle doesn't make it clear, I'm female.