no you are right.

undo the locking nut, adjust all your fine tuners into the middle position and tune your E string, then your A etc. When you have tuned your top E, go back to your bottom E and start again. Each time you repeat this process their will be a less dramatic de-tune until eventually you can tune all the way up to your top e whilst leaving your bottom E in tune. Then lock down your nut and tune up using the fine tuners.

If your bridge comes too far up then add some more tension to the springs in the back cavity and retune.