Halcro, I can't make out from the photo how that cutting lathe is set up. Our lathe incorporates the platter bearings and the bearing track for the cutter head itself as a single piece of metal (which is quite massive).
With regards to the photo of your 'table, if it were me I would have not employed a tower and armboard to mount the arm, instead I would have affixed the arm directly to the plinth, which, in order to accommodate the platter as shown, would have been rather massive. The reason for this is that the tower and armboard both represent moment arms which can vibrate interdependently of the plinth itself. A simple test for this would be to tap the armboard with a metal instrument and then compare to the tone thus created when tapping the plinth. If different, a coloration is imparted.
With regards to the photo of your 'table, if it were me I would have not employed a tower and armboard to mount the arm, instead I would have affixed the arm directly to the plinth, which, in order to accommodate the platter as shown, would have been rather massive. The reason for this is that the tower and armboard both represent moment arms which can vibrate interdependently of the plinth itself. A simple test for this would be to tap the armboard with a metal instrument and then compare to the tone thus created when tapping the plinth. If different, a coloration is imparted.