Unfortunately, you can't add a variable as building block in a paragraph tag definition (the Numbering tab woud be the only place where you could do this).
If you use FM's keybopard shortcuts, then hitting "ctrl+0 T <enter>" right after the text entry of the table title should get you the Table Continuation variable (watch the status bar to confirm) inserted quite quickly and efficiently.
Thanks for confirming. My group also would like to have this happen.
Do you have any idea how Adobe makes the variable show up only on the continued captions?