What they described is legal, if I correctly understand what you said that they said. But it is not complete, and therefore will not give the owner a legal installation. We need to connect the external metal parts of electrical equipment to each other, and (somehow, somewhere, eventually) to planet Earth. Presuming that table already has a connection that (somehow, somewhere, eventually) makes its way to planet Earth, then that is an option. I am guessing (and hoping) that the other electrical company was describing the use of the table as a point to which the new subpanel's external enclosure will be bonded.
But do not confuse that concept with the requirement for an Equipment Grounding Conductor to run from the Ground Bus inside the sub-panel (somehow, somewhere, eventually) to the N-G bond point in the main panel. What you described as the other electrical company's plan does not appear to deal with the requirements for an EGC. But even worse, if the other company is suggesting that they can achieve the required fault path that an EGC provides by simply connecting the Ground Bus in the sub-panel to the table, then they are dangerously wrong.