As I understand it the strips must be planed all round and around 0.5 - 1.00mm thickness. Sawn is not good enough. Most woods are not stable enough to put through a machine at that thickness unless you have a drum sander. Even then it would worry me.
The ash I can get over here has a fairly open grain, too coarse for my taste. Maple is supposed to be similar to Sycamore and would be my choice.
(I had to edit my dimensions.)
"When I was younger, I could remember almost everything, whether it happened or not." Mark Twain