I can't speak to your specific question, but I can answer the question in two ways:
For a worker whose skills are not needed continuously, being itinerant makes good sense. In the early modern period, labourers of all kinds, specialized and not, sought work wherever it was available. A farm labourer would go from farm to farm, following the work, even if it was just in a small area. A candlemaker might travel from home to home to make as many candles as were needed for some payment (e.g. beer, food and somewhere to sleep), before moving on. I assume this applied strongly to something not widely needed, such as a stonemason. Recall that if you are traveling on foot, things don't have to be that far away for you to need to be totally itinerant. Finding work more than half a days walk away would mean you would have to stay away from home. For this reason, markets were spaced by half-days walk as a measurement of reducing competing markets occurring on the same day. This is discussed, accurately, in Pillars of the Earth.
In my undergraduate degree, I was given an assignment that had to assess the accuracy of some aspect of The Pillars of the Earth. My findings were that I could literally identify the sources from which the author had drawn his facts. On the basis of this, I would assume he drew on accurate information for his itinerant stonemason.