For TDD bands RAN1 requires that the active UL and DL BWP pair must have the same centre frequency.
CSI-RS measurement and reporting for the component carriers are specified in
TS 38.213 and to be performed independently per-carrier, similarly for PDCCH. It is up to the gNB scheduler to avoid collisions of different transmissions for the overlapping part with overlapping CA cross-carrier scheduling.
Existing UE capability signalling does not provide any possibility for UE to indicate support of overlapped CA. New signalling would be required in order for this approach to become feasible.