Dibnah
Rather than trying to create a sturdy bench I'd be looking around for cupboards or drawer sets that could be turned into a lathe support at reasonable cost.
Many years ago my then boss "found" a really solid 2 door metal cupboard the right size for his Zyto. Albeit a bit low. He made a superstructure to take a false top perhaps 6" higher up. Left the headstock end half of it open and sorted a drawer in the other half to hold useful stuff.
My "best" moment was when B&Q had a sale of two door plastic cupboards intended for garden use at a price too good to miss. Maybe Keter brand. I got two, bolted them together with a plywood plate between to stiffen them up and rammed planed to size wood struts down the hollow corner sections to make solid legs. Finished off by bolting kitchen worktop to the top making everything amply solid for a SouthBend 9C lathe. Bit bigger than your Zyto. I'd planned to put a panel on the back but didn't bother as by the time I'd bolted the shelves in it was well stiff.
Second best, albeit as design adviser to a friend so not directly for me, was to use the best pair of cupboards out of his old kitchen with all the joints stiffened with 1" angle iron and roof tiling battens(?) as appropriate. Basically stuff he had. I assume the deal with SWMBO was "You can have a lathe if I get a kitchen.". Not that I asked.
When setting up my Heavy 10 I lucked into a set of shallow drawers perhaps 2 inches deep, maybe 8 or 9 inches wide and a bit under a foot long. I made a stack of 5 or 6 to sit at the right hand rear of the cabinet partially overlapping both back and side. Really useful for lathe tools and the like. Later I added a wood batten to the side to hold morse taper things. Four holes drilled at about 30° upward slope. Now sits on my Smart & Brown 1024.
Clive