As a veteran myself I can't fathom how devastating that would be to morale not to mention the anger and hatred for the general ordering it, did any units ever refuse to commit a decimation?
I've written previously on the historical documentation of decimation here. Even in the classical era, we know it was considered a particularly harsh, infrequent punishment, especially during the Empire:
It was reserved for cases of extreme cowardice and refusal to follow orders. Consul Appius Claudius ordered the earliest recorded decimation when an entire group of troops refused to march.
During the late Republic/Civil War, some folks, as a form of mud-slinging, called out their political opponents for using it.
Accounts where we see the actual word decimari, "to be decimated," are about the emperor Galba, whose 7 month rule was more about restructuring the economy with fire rather than sense.