Have fun with it, https://youtu.be/jZQP2oNDkAM?t=525 (he talks specifically about nukes at 8:45, but I really recommend watching the whole if you're into this kind of 'crazy-but-great' ideas. ;-)
That said, putting nuclear waste deep underground and sealing the hole is probably the best best.
Still, the idea of dumping waste that deep doesn't sound like a good one.
https://en.wikipedia.org/wiki/Deep_borehole_disposal
But the article sounds like a sales pitch
Thanks
Some half-lifes are so long that just any progress over a fraction of these time-scales should be be enough to be better off to wait for the tech to be ready than to bury the material.
Yucca Mountain was supposed to be the solution this temporary storage; but the budget for Yucca Mountain got suspended, so the US are back to the temporary solution.
But postponing forever in the hope of a better solution is a bad solution; because in the meantime they are in unsafe locations.