That was a good article, UncleJed-- it basically said that if you have the opamp's power rails 'off', then you should try to ensure that the inputs of the opamp are current limited to about 5mA. Since the circuitry providing the opamp's input will not be powered, I think the opamp would be OK, but the article unfortunately did not discuss what could happen with a 'half powered' opamp.
In my application, in a shutdown state, the opamp can either be half-powered or fully powered (but not off) but it doesn't matter what the opamp does either way, but I think i'll just leave it fully powered since getting a definitive yes-or-no answer would be tricky.