To me it sounds like it will work well.
I debated whether or not I should talk about some of the problems I had getting my sheet to bend but in the end, I decided I would share this info.
I broke 3 sheets trying to make the bend. I can't remember the last time I've ruined this much expensive wood but I had to learn.
The first sheet I had going pretty good. I was working it slowly, little by little and I almost had it when ....SNAP!, it broke.
So I tried it again and this time the 2nd sheet didn't even get as far as the first before it too snapped.
So I got wise and boiled several gallons of water and did the hot water thing. The particular wood that I'm using is called Lyptus. I found out that it does NOT like water. It turned this amazing black color but I kept working with it because I figured it would lighten up when it dried. It never did. But the sheet did become considerably more pliable. I put construction adhesive on the cross members, had my air stapler at the ready. I was pushing the sheet up against the cross members with my left hand and getting the stapler in position with the right hand when all of a sudden, my left hand went straight through the wood........ 3rd sheet ruined. My recommendation is to NOT try hot water unless you're using a marine plywood or at least an exterior grade that has a water proof glue holding the laminations together. By the time I pulled my 3rd sheet out and cleaned off the construction adhesive, the plywood was delaminating something terrible.
They say that the 3rd time is a charm but for this project the 4th time proved to be the winner.
I set the blade height on my table saw at what I reckoned to be half the thickness of the sheet. The sheet was ¼" so half that. Then I moved the guide fence out to ¼ less than the full width of my sheet and cut a kerf on the backside. After that I made repitive cuts moving the guide fence in toward the blade in ¼" increments. It was tedious work and my wife provided a very badly needed extra pair of hands, but having those kerfs gave me the ability to bend the wood around and it worked like a charm. Here are the photos to prove it:
Here's what it looks like on the inside:

I am NOT a complete idiot! Some of the pieces are missing.