“....Why would any non-catholic consider converting....”
“....Then why don't they just convert?....”
The question you should be asking is why is the Catholic Church in some areas like along the Camino de Santiago so “accommodating” to pilgrims heading to the Cathedral of St James.
What I pointed out is in that location it has more to do with history and economics (direct & indirect) as well as trying to convert some of the pilgrims.
Along the Camino there are lots of non-catholic hikers. I have met Buddhists, Muslims, Jews, and non-believers. The church invited all into the Cathedral to pray and see majesty of the church. If you look at the conditions for being granted a Compostella, being Catholic has nothing to do with it. They ask if your journey was religious in nature, not necessarily that you were Catholic.
The point is that there are place where the Church reaches out to non-Catholics.
The Church has always reached out to non-Catholics and encouraged them to join the one, true Church. But it has never condoned giving Holy Communion, sacrilegiously, to non-Catholics.