(Some) super-rich clubs turning down a pretty simple charity request is absolutely a story.
Clubs are happy to send out their players in 2nd and 3rd kits when away from home, even when there's no kit clash - to meet contractual obligations with kit suppliers.
And there are PLENTY of examples...
The Premier League has reportedly turned down a proposal from homeless charity Shelter which would have seen clubs play home fixtures in their away kits on Boxing Day.
Several clubs - including Brighton and Wolves - were supportive of the proposal...