No, the table does change its size, when its units is set to normalized. But the sizes of the table's rows and columns do not change their size, such that the appearence is not changed. This is a "wanted feature" and you have to modify the column width manually in the figure's ResizeFcn. Because this is not trivial, I'd suggest to send an enhancement request to TMW.
Type control-A to select all the controls. Double click on one of them to bring up Property inspector. Go to the Units property and set it equal to normalized. This works for all controls except those in a container like a panel (they don't get selected by control-a), for which you'll have to select the controls manually.