The 14 day rule is for compensation, not Right to Care, more details upthread.

Occasionally BA sends out this sort of message, the usual way to handle is to point out that Article 5 has the 2 week rule, whereas Article 9 does not have this rule, and you are claiming under Article 9. Moreover Article 5 says Article 9 is payable for all relevant cancellations in 5.1.b. If BA does not wish to abide by EC261 and APR, can they kindly issue a deadlock letter for the matter to be resolve by CEDR or MCOL. If you first complained more than 8 weeks ago you can go straight to CEDR.