Depth control is obviously a lot more difficult but possible Dan. Adjusting feed rate and power on the 2.8W J-Tech I can cut halfway through materials but requires test runs first. Even so on things like plywood it’s a bit hit and miss.
Where it comes into its own is for things like cutting and scoring card. With the thick black card I use I can score fold lines by cutting half way through in a pretty consistent fashion.
With the Epilog having 10 times the power I’m not sure if you can get that kind of control though would be something you’d need to try.
Tried a living/lattice hinge yet? Fun stuff, see this: "Living" / "Lattice" Hinges
Cheers
Ian