If I were ever to build an open framework layout, I would use the spline method as well. My only concern with splines is that each layer can become out of alignment on the top surface relative to themselves, i.e.:
__
_| |____ ______
| | |__| | |
Or:
___----
___----
Leveling that can be a challenge, especially with smooth materials be used, as they tend to slip vertically. I think a belt sander would be crucial to maintain horizontal as the sander follows the top of the spline.
I suspect that is why he uses the screws as he goes, not as a strengthener, but more as an alignment device.
This could be an OCD nightmare for me, lol.