Not really. It will mostly be a problem for companies which use a lot of SaaS services with no on-premise solution and companies in the business of selling their users data. Not gonna shed a lot of tears for those.
How do you guarantee that the SaaS you chose is enforcing the privacy of the data you're paying them to process?
If supporting GDPRs is a requirement for having European B2B customers, SaaS providers are going to start certifying against and architecting around that.
https://aws.amazon.com/compliance/gdpr-center/ https://aws.amazon.com/blogs/security/aws-and-the-general-da...