Arne, I couldn't find the bendy birch in South Florida. They had a bendy plain ply at a specialty lumber shop here, but it was 1/2 and wouldn't take the varnish real nice.
I originally ordered (yes, they actually mail this stuff) 1/8 bendy ply from COLORADO, to use for my interior roof. They never got the 1/8 in stock, so they sent me 1/4 instead. And that's why I was able to use it for the exterior roof too. (I thought 1/8 would be too thin.) In my avatar, you can see how that ply took the varnish. (That's just marine spar varnish, no stain.)
But I ran out of the material by the time I got to the hatch, and used 1/4 red oak at $30 a sheet. This isn't the best material for exterior use, so I varnished the hell out of it. It really takes the varnish nicely, really nice wood grain.
Basically, it was a matter of using whatever I could FIND. Also, I didn't skin the inside of the hatch.
My hatch is no masterpiece, but at least it opens and closes. Closing requires a little bit of manuevering, but as long as it doesn't fall off, I'm happy.
But any 1/4 material will make that bend without much of a problem.