That is not my experience. Last time I upgraded MacBook Pro machines, I used the TimeMachine backup from my old one to “restore from Time Machine”.
According to Swordmaker, one must restore from Time Machine using the same OS version used in backup. There was a six month gap between the death of my old iMac and when I bought the new iMac. I had to save-up my limited income.
There was almost certainly a new OS version released in that period.
That may have been my problem.