Thanks for the additional thoughts.
I'm surprised plywood only reduced reception by 50%.
On second thought, the plywood may have been thinner than 1/2"
I guess the actual percentage reduction isn't that meaningful, it was just based on what some receiver said. I think I was using a DirectTV receiver's meter, and who knows what that % actually means.
I did the experiment because years ago in one of the old analog TVRO internet groups, someone had posted about putting a C-band dish in the attic of his house or garage, and getting reception through the roof. I later decided to do the experiment and find out whether it would work with a fixed Ku dish. I could still get a lock if the plywood was real close to the feed, but if the plywood was blocking the signal a couple feet in front of the dish, I lost lock, hence my scattering theory. I assume that it might depend on the type of plywood, and probably wouldn't work well if the plywood was wet. I think I've done a similar experiment with my hand too.
I think the tendency is for people to think that if you can see through something that rf will go through it (like plastic or glass windows), but in reality both glass and plywood are solids, it's just that glass happens to be transparent to visible light, but may not be transparent to other frequencies, and wood will have it's own spectrum and will have some frequencies to which it's transparent and other freqs that it blocks. Being a ham, I used to hold a hand held transciever near a window to get better reception to a distant repeater, but I soon found out that I got better reception through the wall than through the window.