In this sense, the lock in lock-free does not refer directly to mutexes, but rather to the possibility of “locking up” in some way, whether it’s deadlock, livelock — or even due to hypothetical thread scheduling decisions made by your worst enemy.Suppose you had an operation that was guaranteed to either add your input to some location in memory or fail gracefully in some fixed amount of time. It's first come first served and implemented at a hardware level. Now this fits with the definition of lock free in that a process can't prevent your process from finishing, and works just fine if you want say a counter of number of moves examined by your AI thread as a thread can always keep an internal counter and try again say after the next batch goes though. However, you still get into resource starvation issues depending on how it's used and with enough threads you encounter a wide range of issues.
Lock free programming is not a binary condition so much as hierarchy of conditions. Where various types of resource starvation (ex: at the cache or buss level) are perhaps the most stringent. Scale up to say a billion cores and 100 billion threads and many 'safe' operations create significant issues.
PS: Wikipedia uses Wait-freedom > Lock-freedom > Obstruction-freedom all under http://en.wikipedia.org/wiki/Lock_free