AHA !

> table-delete-row, table-insert-row are for tables in the "table.el" format like
> +------------------------------------------------------------------+
> |                    User Visible Entry Points                     |
> +-------------------------------+----------------------------------+
> |           Function            |           Description            |
> +-------------------------------+----------------------------------+

Ok, this works. If i use table-insert, then table-delete-row works. Cool, thanks a lot.

But, the :
 
> S-Up/Down are only for tables on the orgtbl format like
> | x | y |
> |---+---|
> | 1 | 2 |
> | 3 | 4 |

Still don't seem to work. I toggled org-support-shift-select on and off but nothing. When i do S-UP/DOWN i get the normal emacs region expanding behavior, of, if i deactivate org-support-shift-select i get a cursor movement.
That said, M-x org-table-delete-column does work. 

I gess its a binding problem …