In my company it's actually quite opposite.
'Do you want an extended centerline, sir?' (=you moron, how can you fly an ILS without extending the Airbus centerline!)
Ehh...now I don't!
But seriously, I think this is a case of 'give the guy what he wants' and be done with it. If he wants his waypoints, then that's the way it is. Maybe one of the waypoints passes over his grandma's house, or maybe he really does not expect straight in radar vectors, in which case an extended center line will give you way too optimistic track miles. The extended centerline has its merits, but it is not at all compulsory.