My goodness, I can't believe I am about to agree with WallyL7, but I would bet that it will change very little if at all.
Logic seems to dictate that the relationship between the Z axis and the table would not change much if at all if the machine was leveled and is leveled again once placed where you want it. You are not talking about the floor after all, you are talking about the relationship of the casting itself. The spindle itself will not change and the tool will go into the spindle same distance.
I would bet that unless the machine was really out of level, that it will be functionally the same. I would really like to know the results, and I hope that you will post them for us. Checking a few tools etc. will tell you. I love trying to figure out these things.
Have fun and I hope the move goes smoothly.
Mike
Two Haas VF-2's, Haas HA5C, Haas HRT-9, Hardinge CHNC 1, Bother HS-300 Wire EDM, BobCAD V23, BobCAD V28