I also do similar thing with cnc hot wire. And i do make a lot of tests on peeling fiber from foam. Only one resonable approach was to san foam with 60-80 grid, cris/cross pattern, not circles, put some thick epoxy, squeze it down, and then make layout. It was ok on quaility side, but not constant. I did got 40-60% foam on fiber after peeling.
But it was hard to replicate on bigger surfaces and it was to be on wet side + around 200-350 grams of extra epoxy per m2 just to cover scratches to avoid dry bond. and next layer have to be on wet side too.