Well, here’s a development ...

Cut a test panel with the 24” kerfs and the hot wire bow (which worked perfectly) Easy to do using the jig ... difficult for one person to use , my alignments were a little off trying to catch both sides at once... But it worked and I was able to kerf the whole panel pretty quickly ... But just handling the beadboard and it snapped at a kerf ... in two places

...

So , back to the old method with the saw and tiny kerfs ... which seemed to bend much better being closer together ... and no breaking ...

I don’t believe this is as likely to happen with the extruded foam (blu or Pink)
Here’s something I learned .... when doing hot wire cutting , allow an entry area on the jig Before it hits the foam ,for the wire to align before the cut is made .... much neater that way ... learned that the hard way ...

(see Pic)