That depends on what you are doing. If you are doing ecommerce, you need shipping address. GDPR does add work in this case.
Sure, protecting that information is more effort, but you should be doing that already, right? not just from a GDPR perspective but a business perspective too - if a competitor can get a list of all your clients and send them brochures with 10% discount on your prices, you'll close down pretty quick.
Link to this ever happening pre-GDPR?
https://www.acumenbusinesslaw.co.uk/2018/07/23/a-former-empl...
To them, I'd say "order with Amazon, then", but sadly that's a lot of lost clients.