Actually, burning in has been made for a long time, and for good reasons. A properly burned-in grip has a much better fit than a drilled one.
You have to drill a pilot hole, which has to be somewhat smaller than the tang.
Now, the trick to a properly burnt-in grip is taking it easy and taking the time to do it properly.
AVOID using a red-hot tang. That's way far too hot! It will not only burn in the tang, but will extensively char the wood on the inside making it brittle (or, with some woods, starting cracks that will become apparent with time).
So, heat the tang just enough to make the wood smoke and let it slide in a short length. Then heat it again and repeat as many times as necessary.
Dont force the tang in, as you could split the wood.
Take it easy, and do it in a ventialted area. Some woods release noxious fumes, and stabilized woods release stuff you definitely don't want to breathe.
A properly burnt in tang will use resin as a binding between the tightly fitting grip and tang, while ina drilled or charred grip it will have to act as a filler as well, resulting in a weaker bond.
Perhaps modern epoxyes are so tough it doesn't matter, but you'll know you did it properly.
Also, I experimented with hot glue. I melted some on the hot tang and pushed it into the grip. I did this on a two handed sword I got rough forged from a polish smith and finished myself and used for sword fighting training for more than two years, and is as firm and solid now as it was when I first finished it.
While some epoxies may get a little brittle, hot glue has a gummy, tough texture that will endure a LOT of impact and vibration.