This I would expect.
Tropical hardwoods have been the material of choice for woodwinds not first because of their beauty - an admitted plus - but because their resinous nature greatly slows absorption, contributing much to dimensional stability. If fatwood were a viable flutewood, I’m sure we’d have been exploiting that resource long ago, and very likely have a different visual aesthetic wherein we would sing the praises of its more translucent types.
Epoxy does a job analogous to oils and resins, but if the resins are there already, it’s hard to infuse something for which there’s no room.
And yet in a not-very-shining moment of misguided curiosity, I wasted a certain amount of wood and resin to find out what just about anyone could have told me in advance. Ah, well…we’re never too old to learn!