That alternative definition seems less useful, because quite often there are two people who can individually maintain a project, and in that scenario the bus factor is 0 even though there is a risk that both of them will leave the project.
More like the way 1 is halfway between 0 and infinity. I think you're nearly there, and the answer to the dilemma is that fractional bus factors are possible. A bus factor of 0.5 means there are two indispensable people.
We might disambiguate the two conflicting definitions by renaming them with suitably inverse words - "redundancy" and "fragility" perhaps (though I suspect the latter is unneccesary). This is basically the terminology we use for RAID arrays and servers.
That would be true if "infinity" meant 2.