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Opinion only - it's possible to argue either way.
Assuming accurate and deep scoring on both surfaces, and the blade cutting cleanly at right angles to the surface, the jigsaw should be on the inside (hidden) surface so that the cutting stroke is pulling the visible (outer) veneer into the board, and any scuff marks left by the sole plate are on the inside and will not be seen.
The advantage of having the saw on the outside is that you can follow the line that is on the visible surface and any slew due to the blade flexing sideways will not be visible. This assumes that your marking / scoring is deep enough to prevent the veneer from chipping or delaminating when the blade catches it on the up (return, non cutting) stroke...
I'd do it with the saw on the inside and be prepared to buy a deep pile carpet to hide the edge if necessary.
(Assumptions = weasel words to excuse poor advice if it doesn't go to plan)
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MrE
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