Most customers don't actually interact with CRM-y tools (usually). There might be integrations to (revenue cycle management for example) from customer facing to back-office, but that's usually the delineation.
I think you're confusing it with backend. Generally in traditional businesses you have reception/front desk where the customer interacts with the business and the back office where all the employees are doing various work.
But to your point, there's some grey area here.