That's great that your company works well with GDPR. I imagine many companies will. I'm also sure that the impact on your backups could have been had without the law if you so chose.

However, an organisation that works inside the UK (EU) serving many EU paying customers (presuming here) is very different from say, Instapaper, who pulled out of the EU today because they don't make very much money from EU customers.

If we pass a regulation that says everyone who is in New York for any amount of time must pass an annual 1 hour health exam (conducted by NY state), I imagine this to be totally acceptable to New Yorkers. It correlates with good public policy: you prevent communicable diseases, and can catch health problem before it gets big. However, if this rule were to be enforced strongly, someone who might stop by once or twice a year probably is better off never coming.