Had a similar situation last year but on paid stays -- wife was in DC on a trip to mix business with pleasure and booked the res under my account and using my CC because under the original plan I was going to join her for the beginning of the trip. Had a "duty calls" moment in Richmond and wound up completely scuttling the "spend time in DC" part of the trip. since Richmond wound up completely overlapping the DC stay so I never made it up there for a night.
Everything was fine, originally only got credit for Richmond and wrote to the Diamond Desk inquiring (Up to that point I had never had a situation with multiple stays and had misinterpreted/misremembered the program rules re: crediting multiple rooms [they have to be on the same folio]) the Diamond Desk set me straight but generously credited both stays as a one time exception.