Not the majority though, else the wehrmacht would have done less war crimes.

I think this depends on whether you draw the boundary at "refuses to do X even when killed for it" or "wouldn't have done X on their own".

Most soldiers who disagreed with the Nazi left the Wehrmacht by 38 (or were pushed out, or were beaten and restrained for month in 'black site', often disaffected warehouses where socialists and Communist were 'retrained', basically proto-concentration camps).

In 42-43 some were reintegrated forcefully, and those I agree do not bear responsibility for the Wehrmacht war crimes.

My grandmother had a lot of stories about the Wehrmacht and was very disappointed that they were basically whitewashed from their pedophilic rapes, public executions and other group punishment.