If you did that in the USA, you would lose your appointment and possibly be billed for a no-show.
It's not a bill for healthcare. It's a punishment for wasting resources. Like at buffets where they charge you for uneaten food on your plate when you leave.
HCPs in socialized medicine often still get reimbursed based on activity, so a missed appointment means they miss out on reimbursement. Makes sense you ought to owe them for costing them money.