I think the problem for orgs in non EU and non Third Countries is that a lot of EU based orgs will be (or already done so) moving as much as possible to provide

I think the problem for orgs in non EU and non Third Countries is that a lot of EU based orgs will be (or already done so) moving as much as possible to providers that are GDPR compliant - or offer assurances that satisfy the GDPR (Like the Privacy Shield) So by not being compliant, or at least offering a way for orgs that are compelled to follow GDPR to be compliant, they will start to miss out on business from B2B or B2C. Especially after May 25th, there are already radio and TV adverts about it here in the UK, and I imagine that a lot of consumers are going to start questioning this before they use a service