For field events and webinars, our events team handles all comms for customer/prospect invites. They send marketing emails, upload sequences into outreach for sales/CS/BDRs, and work directly with those teams to drive registrations.
For our flagship event, I (customer marketing) am heavily involved in messaging, helping to select target accounts, and even dedicate budget to covering T&E for key customers to attend as a recruitment effort. But the event and brand team still draft invite copy for customers/prospects for marketing emails and seller/CS 1:1 messages.
For customer entertainment (like suites at sporting events), I'd handle that myself. I'd draft invite message for account owners/CS.
Hope this helps!