That is exactly what is happening. ViacomCBS is pulling shows as contracts expire so as to build up All Access' library.
Edit: You might be thinking of The Office, which was an NBC-produced show and will be Peacock-exclusive.
I agree, it's clear what they are doing.
And It's not. I can't stand The Office or Friends so I don't give a damn if they became exclusive, but I thought it was Frasier and Psych on Peacock. Guess not. I've watched it plenty the last few winters to make up for it losing it's everywhere streaming rights.