Of course. Also there are trade barriers inside the existing EU. Disbanding them is extremely controversial (just imagine what would happen if Bulgarian Uber drivers using Romanian-registered vehicles started to offer rides in Paris.)
> (just imagine what would happen if Bulgarian Uber drivers using Romanian-registered vehicles started to offer rides in Paris.)
That's what already happens now, in a way. My brother (I'm from Romania) used to be a farmer his whole life until his early 30s, when our accession and integration into the EU made it very hard for him to live from working his land. That's when he switched jobs and became an international truck driver, because his cows' milk could not compete with the rest of the milk coming from the other EU countries. Right now he's on his way to France, from where he'd probably carry some stuff to the Czech Republic. That's how a single market should work: a Romanian driver working for a Romanian company carrying stuff from France to the Czech, the same as it happens in the States.
What's happening with Uber in Paris and the other big French cities is an economic anachronism.
> just imagine what would happen if Bulgarian Uber drivers using Romanian-registered vehicles started to offer rides in Paris.
That would totally work. It wouldn't make much sense to register the car in Romania though since the registration fees are probably the least of your costs and the hassle outweighs the gain. That's why you're not seeing it. But I regularly get drivers of foreign origin in the cabs I'm taking in Berlin.
My point is that this situation is already reality and the taxi drivers don't react violently - at least not because the new driver is Bulgarian or Romanian. You are confounding two issues: Free movement of people and labor and the Uber-mess. French taxi drivers react violently against Uber, no matter where the car or driver is from.
There's no trade barrier involved in the uber-mess. Rendering a local service is subject to local regulations that Uber tries to skirt. Uber is flat out illegal in large parts of Europe, for example all of Germany. So your point here is moot.