It's easy to underestimate the amount of waste when doing bent laminations, even with a good bandsaw. I think that, with outdoor furniture, the glue lines would become more visible over time even using something that doesn't 'creep' like cascamite.To get the same shape, you could cut the wood into thin strips and glue them together whilst bending them around a form (ie diy glue-lam). I can't get the photo to zoom, but it looks like there may be a join above each leg / main upright, so they probably weren't done that way. To follow the original you could steam each piece and bend it, or just cut a bent shape out of a larger piece of timber (profligate amount of wastage).
I did a bit of bending glue-lam last summer, and it was much easier (and much messier) than I expected. You just need a LOT of clamps, and polyurethane glue rather than pva. If I was going to copy this design, that would be my preferred option, even if it isn't pukka.
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