They probably call it termination to make it sound more professional and like a process. I also dislike graduation for therapy much more. It implies that the client has achieved something or upgraded, which is certainly not always the case.
I did not like the mental preoccupation with therapy either and it was one of the reasons I ended mine - it became an unnatural, useless distraction. If beneficial otherwise, it may be worth taking that side effect. It is indeed unusual for a T to take a 4-month break every year. They should not claim that they do long-term therapy then.