You make pilgrimage for yourself, only yourself - why let it bother you what others call it?
Traditionally, if you walked with the heart and mindset of a pilgrim and you made pilgrimage to a place, then you were a pilgrim. Those walking the same paths to visit friends, conduct business, move between villages, etc were not seen as pilgrims. Even the great Saint Francis Xavier was not a pilgrim when he walked the Aragon, Arles, and other routes to Paris - he was simply a nobleman headed to university. If you walk the Thames Path to London, you are simply a tourist. But if you walk that same path with holy intention and finish at the Cathedral, you are a pilgrim. We have blurred these lines nowadays, so it’s truly what is in your heart that matters.