Big fan of his videos, I think he is the source of my mindset to put top/bottom panels between sides and not on top. Coincidentally rewatched his cabinet videos this morning and aside from many elements he does cover, he doesn't seem to spend an awful lot of time squaring up the carcasses ie he seems to have nailed a method for him with appropriate clamps and fixings etc.Binge watching quite a few of @petermillard YT videos on making cabinets (there's a recent "basic boxes" one) would be helpful for you.
Will try the pocket hole clamp but should that still create a bit of movement might try normal MDF screws and dowels where I can