Plywood is only 2/3's as stiff as solid wood longitudinally, so it needs to be 1/3rd thicker. Plywood is also heavier per unit of strength/stiffness, so increasing its thickness to compensate for natural deficiencies, isn't the best approuch from an engineering standpoint. This isn't debatable, it's the nature of plywood.
I compete with aluminum spar makers, using wooden ones. Up to about 20' most use 6061 T-6 tubing and I can kick these sticks butt by about 10% in wood, but this is about the crossover line, where tubing and of course a real extrusion starts to beat wood, but only in certain applications. In well stayed rigs, aluminum beats me, but in particularly bendy rigs, I got it 'till over 26' - 28'. This is because tubing wall thickness and diameter doesn't change, though some using two or three sections do step down. Once carbon enters the picture, it's game over.
Mik, your stave layout can be greatly improved, from what you've shown, while still keeping it single lengths of stock glued together. Below shows the typical methods, though there are others. The top left is as simple as it gets, but is stronger for the material used. It's a 1x4 stave (3/4"x3 1/2") and will produce a 3.5" square or round stick. It's wall is overly thick, but it's simple. Right top is the same thing, except the staves are slightly notched to capture the next side. This makes a huge improvement in strength and stiffness, plus increases gluing area and makes assembly easier too. Lower left is the most common way and just as simple, but a lot lighter, but Herreshoff took it one step further (lower right) by notching the corner braces to remove even more weight, without sacrificing strength and stiffness. If you look at the colored centered areas, you can see how much weight is saved by making a hollow stick. The lower two show a 20% wall thickness, which is pretty common for a light cruiser. 15% would be a racer, while 25% would be a hefty cruiser. FWIW.