So all that sounded REALLY EASY !
Well in essence it was, but a lot went wrong along the way. Initially I used a piece of MDF as a backing board, and stuck the sheet down with double sided tape. As the MDF would swell with coolant I had to run dry. The sheet got warm, the tape let go and the emergency stop button got pressed

I tried again with much smaller increments of cut, but again off she came. This time it wasn't a heat effect, but I had cleaned the backing board with spirit to get the old tape residue off, and although I'd dried it well with an airline there was enough held there to soften the glue and release the part. That was yesterday. In the middle of last night I had a brainwave. Use a bit of melamine covered mdf. The spirit won't soak in.
So this morning
I sliced a bit off the plinth of our kitchen units I found some left over plinth board from our kitchen build, and started again. All went swimmingly until I decided to use compressed air to clear chips and keep things cool. As I wafted the air nozzle around it lifted a thin transparent protective cover sheet at the edge that obviously is intended to be peeled off after installation. So my double sided tape is just gripping onto this thin sheet

In practice it held, I got through the first side, and in fact the peel off sheet made clean up easier for sticking it down in reverse

In all a very useful exercise as I've learnt a few things and ended up with a satisfactory box