About to enter into a very nice contract with a solid company in New Zealand.

Problem is, they feel that points I earn while traveling for them should belong to them.

(1) I've always viewed points as an unofficial perk of consulting, almost a trade-off for not being able to have a "normal" life.
(2) The headache of tracking what is mine and what is his would be uber-tedious.

I haven't addressed this issue yet, but any collective wisdom you'd be willing to share so my argument is rock solid would be much appreciated!