No, both of them. Affiliate link, can be considered as personal link too since it has unique code/numbers provided just for you.

The main difference is when you say referral link, that means you are an existing user of the casino who just want to refer someone to get paid, then you can still play and do stuff in the casino.

While being an affiliate uses different platform/website to get those affiliate media assets, generate unique links, and you can even request on what kind of banner caption you want to make ofc, its free of charge.