Yeap, the gluing alone could be problematic, that's why i said:
"and a bunch of 1-3/4" screws screwed through the pre-drilled holes in bottom board"
Perpendicular direction suggestion was to minimize warping/bending/twisting of the finished tabletop.
I know it's not the proper way to do it, but the advice was for the tools and equipment available in his shop.
I once built tabletop 12' long and 4' wide out of 12' long 4''x4" douglas fir lumber straight from the lumber yard, i.e. not very straight ones.
Didn't had planer, didn't had joiner, so I drilled holes every 10" through the middle of the boards and put I think 13 threaded roads through 15 boards side by side and "screwed" them together for gluing.
It took tremendous amount of force to bring everything together; at one point I thought the nut/road threads will worn themselves out from how hard I was screwing them, even if it was 5/8" threaded rod diameter, so I had to lubricate them to be able to continue, and the big flat 2.5" over sized washers were sinking into the wood and getting into the shape of a bowl.
At the end I glued them together but the result was far from flat. Luckily the boards were thick enough for the tabletop to still appears thick when it was sanded down to make it look flat.
There were some massive boards underneath running across tabletop width that surely helped in keeping it flat over time, but I'm not sure if it would remain flat on it's own.
Anyway, would not recommend anyone now to do it this way on a regular basis.
For me it was the time of experiments and time of learning, surely not the time of doing business :)
When I inquired some local woodworking shops for manufacturing solid oak tabletops 1.5" thick the price was over $100 per square foot (maybe around $130 if I recall correctly) , don't remember now if the material was even included in that price.
And that's how I got into cabinets :)