Management Company - Fire Risk Assessment

I own two flats (and let them) out of four in a converted Victorian house. The other two flats are owner-occupied. I understand that a fire risk assessment is required on the common parts and that the man. co. is responsible for this. One flat owner says that it is only required because I let my flats and therefore I should pay for it.

My reading of the legislation is that the letting is irrelevant and that the man. co. has the responsibility because of the nature of the accommodation.

Am I correct?