I have used these devices many times in the past and when I saw your post I thought "Ahrrr, it's not a dual supply part!"WRONG! You are correct, it is a single supply OR dual supply.
If you examine the output circuitry it is an open collector to the GND or -V supply, so if you use a -V supply the output will be switched to that also.
There used to be a comparator if my memory serves that had a seperate ground pin for the output so it could effectively work bipolar but provide a unipolar output. I'll have a think........
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Found it! It was the similar numbered part LM319.
These came in dual packages and they had +V, -V which could be bipolar or unipolar (even+5V only) and also Gnd1 and GND2, one for each output.
The outputs could be "wired OR" which made them a useful window comparator. I couldn't find a good dual supply powered circuit with say TTL pullup for the output, but I'm sure that's how they can be used if required.