I'm the one providing the links to the affiliates.

The problem with the method you mention is that the affiliate has to trust the web site owner to be honest. The owner gets all the business, and only pays the affiliate if he feels like it. The affiliate pays for the ad, and doesn't have any record of who clicked through it. There are plenty of people who advertised some of the casino sites, and the casinos took the business and didn't pay the affiliates. I'm sure there must be plenty more examples.

The way clickbank operates is by logging clickthroughs, then forwarding the request. That's the bit I'm trying to emulate.