Extract from their T & c's
4.2 Subject to your complying with Paddy Power's instructions with regard to tracking customers accessing the Paddy Power Sites via the Links on your Site, Paddy Power shall use all reasonable endeavours to ensure that whenever a customer links to the Paddy Power Sites through these Links and they subsequently place a bet or otherwise transact with Paddy Power, the relevant customer is identified as originating from your Site. However, Paddy Power shall not be liable to you in any way if Paddy Power is unable to identify a customer as originating from your Site.
This appears to say that if you refer the player they will pay you for any transaction that customer makes.
On further inspection of their terms there is no mention whatsoever that
We do not offer cross-channel commission to affiliates as standard