"If you’re going to be this aggressive with root removal, it needs to happen when the tree is starting to grow and can respond with growth."
Agree That's why I mentioned it's a bit early for collection. Collecting while the tree is completely dormant can be a problem as you remove roots that store some of the tree's resources it has yet to draw on. Early spring is best for this species, as buds swell and are just about to open is optimal.
Also, I assume "APL" is akadama, pumice and lava...That might be too lean for a hornbeam. Hornbeam is a bottomland species, growing in very moist environments along streams and flood prone areas of rivers. I've always added 1/3 granular organics (sifted composted pine bark, "fine" grade orchid soil) to the soil I use with collected hornbeam.