The GDPR is yet another regulation that adds a lot of liability with the risk of huge fines for a foreign company. And while no regulation in itself is ever going to be enough of reason, it's the plethora of regulations that is, and the more it grows, the more companies will feel it reached the tipping point for them, which may result in either withdrawal or refusal to serve the EU market. If this proves true, EU citizens should expect to see a lot more of "We're sorry, this service is not available in your country" messages. And it's already pretty bad from what I've heard.
Note: I'm not saying Emirates will pull out because of this, they won't. I'm also NOT against the GDPR and I totally understand the need, I just wish it would be regulated on a more universal level. Same with copyright regulations.