This is an extremely stupid, reductionist discussion that shows the difference between theoretical and practical freedoms.

While the Queen's approval is theoretically required for legislation and various other bits of constitutional machinery, in practice it is always granted.

The objections to the Queen's role in the power structure are theoretical; nobody can point to specific bad actions as justification for changing the system.

The objections to Erdogan are much more practical and involve suppression of opposition and journalists.