His response to my email, which had included pictures of my table:
"All hatch covers are rectangular in their original form. We disassemble
and reassemble our covers to give us the diameter needed then cut them
to the round shape. We install a faux hand hold cutout in the center but
then use an original steel hand hold to finish the look."
That explains the center location of the handle recess and the reason I couldn't find any pictures of round hatches. I guess the design/building
of my table from old hatch wood is common.
I started testing some finishes today. Trying to match our TV console
which is labeled as "Honey Maple".