Have you seen this sort of thing?
https://www.m-powertools.com/vaccum-clamping Trend used to make something like it as an accessory and it allowed routing without fouling and clamps.The possible problems would be the force generated and the size of the individual cells.A small cell will only have a fairly low amount of force holding the job in place but when I used the Trend tables in the past with a hand router it was OK with pieces of 250mmX150mm.The other problem might be the thickness of the gasket allowing extremely thin material to bow across the cell.Maybe thinner gasket would work.