They are sweet shooters but they were plagued with two issues.
1. The bolt handle tends to fall out, so watch it.
2. There was a serious metallurgy problem with the action bars on the design. They were made of bad metal and had a tendancy to break one or both of them, rendering the gun unreliable. There are some parts out there, but they cost an arm and a leg. Some people have had mixed results trying to weld them.
As for synthetic, they were made in the pre synthetic days for the most part, and as Ithaca was a more expensive gun maker, wood was more popular.