Yes they can, the reason is that they're various games on a casino website, and all has different rules which applies to them apart from the promotion terms and conditions, going against this might make your winnings forfeited.
The hard part is that you don't know which games this terms and conditions applies to, games like table games etc has low house edge and their own rules for you to follow before you can be handed the bonus.
The hard part is that you don't know which games this terms and conditions applies to, games like table games etc has low house edge and their own rules for you to follow before you can be handed the bonus.