Air War College vs Naval War College

For those who have completed resident SDE, I’m interested in opinions on Air War College versus the Naval War College.

Does it make any meaningful difference for an Air Force officer whether you attend Air War College or Naval War College for SDE? I understand that both can satisfy the appropriate JPME/SDE requirements, but I’m particularly interested in how they are viewed later in a career.

For officers trying to remain competitive beyond O-6, particularly for O-7, does the specific war college matter at all? Is attending a sister-service war college viewed differently or potentially favorably because of the joint perspective, or is completing resident SDE itself what really matters?

Thanks for any feedback!