time warp, folder

[newbie] Hello, if I put my drum tracks from the different mics into a folder and link them, when you do a time warp to align the beats, do they all move together? For some reason I think they did not align when I did it so perhaps I followed the Cubase instructions incorrectly.
Just to be clear, when I do this, I see the tempo change slightly with each shift of the (kick). Is this how it is meant to work?
or should the tempo remain the same and the beats just move (which is what I assumed I wanted to happen.)
Thank you.