Try this. A process could have a rogue thread scribbling on memory and thus corrupting it. Such a process then that has this thread, by your definition, cannot be wait-free because any data structure can be corrupted and cause algorithms to fail. This is not how the concurrency community look at this.

*added below

Even a simple LOCK XADD instruction could have its results corrupted by this rogue thread after it writes before a consumer reads it.