No, it doesn't matter. There are people however who will let you believe that it does. Most of these either work for an fto or just think the way they trained is the best because it got them through.
It all depends what kind of job your looking for. If you want to work for a small air taxi company based at a particular airfield then they may prefer people that trained at a local school. If you are looking at someone like ryanair then as long as you are willing to pay for the TR they don't care. How many people spent a fortune going to oxford only to pay ryanair for a job at the end of it.
