Seems to me that probably nothing good could come from it, but some people on forums, and one guy on a YouTube video (for a Subaru) in particular, claims he "does it all the time", (continues to operate the vehicle when the CV boot/ axle is leaking grease or making noise). He claims the end result is that the car eventually just loses power and needs to be towed.
YouTube guy claims it is a "non- critical component" that essentially poses no danger in a failure scenario.
On the other hand I've heard of the issue remaining unaddressed and eventually leading to a wheel coming off the car at freeway speeds.
Is the YouTube guy just a blowing smoke or what?
What could happen in theory if someone were to just keep driving the vehicle without repairing the problem?