Here. I have posted this many times. But, it seems to fit here. This video is me showing different details about the stroke in TT.
And, again, the stroke in TT is different than in Baseball becaue, in baseball, they don't have to recover, so they can put all the power they can into every swing if they want without penalty. I did say that above. But that is why they can use such a big "weight transfer" in baseball, that is why they can pick up the front leg to get the stride bigger (that is what they call weight transfer in baseball is the stride), that is why they can turn their waste more, that is why they can turn their upper body more, and that is also why they can follow through fully across their body: because they do not have to recover for a next shot. But still the details of how the body adds to the power as the bat intercepts the ball in a very similar way. So it is useful to look at something bigger and more powerful where all the movements are obvious.
If you watch a pro boxer punching, they actually do a lot of the same actions as well. In part, it is how the body is designed. What is different is the size of the swing and what the contact is.
So, here is my video that I have posted many times which breaks down different aspects of a TT swing:
So, as far as language, I don't care what you call things. In baseball they say stride, in TT they say weight transfer and I can see why they use different terms for an action that gives you the same thing. And in baseball, they do take a stride and in TT you wouldn't.
So, use the language you want. There are certain things that will be present in a TT power stroke that are universal to how the body works. If you were pushing a really heavy door open, you would use some of the same actions from your legs and hips. Not all, but some.