With a little experience you enter this more than 2'000 years old street of the Romans. A little maintenance would do her good, but also take the romance again. With the MTB you should not really, but if it is not Sunday and has many hikers, it is justifiable. I always get off when I meet walkers and usually get back a thank you.
The old Roman road is an interesting historical section in the area. It's not always easy to drive with the MTB, and walking is usually the order of the day. Assume that the Romans were only walking here ;-) During the week, there is not much going on here and you can try it without frightening hikers. And if someone shows up - get off and go.