Here's the reply I recieved.
In cases of multi-night stays, we first review if the comparison rate total is less expensive than the Marriott reservation total (excluding taxes and fees unless they are included in the room rate). Should we find a comparison total is less expensive on a multi-night stay and the comparison source lists specific nightly rates, we then compare those specific nightly rates to the actual nightly rates offered by Marriott, adjusting the rates only for those nights in which the specific nightly comparison rate is less expensive than the Marriott rate. If a comparison source does not offer specific nightly rates but rather only a room total (for example,
Booking.com), we calculate the average nightly comparison rate and again proceed to compare this rate to the actual nightly rates of the Marriott reservation.