This'll be interesting. I can't imigine there would be a difference.
I have a Cary SLP-98L and a Joule Electra LA-100 MkIII and both are phase inverted. The Cary Manual sats to make the switch on the amp end. I don't have a Joule manual but was told to do the switch at the speaker end. So there you have it. As Ghostrider45 says it probably does not matter.
On the other hand I once had a pair of Spendor 7/1 speakers and took out the woofer to look inside. I found that the wire from the crossover leads to the woofer leads were reversed. At that time my preamp was not phase inverted, so I'm wondering if that configuration made the set-up inverted. I never could tell the difference when I switched the wires back.
If your speaker cables consist of two conductors made the same, just that one is marked red for positive and one is marked black for negative, then either way you invert phase you will still have one wire from the + amp terminal to the - speaker terminal, and one from the - amp terminal to the + speaker terminal. It makes no difference which wire is marked red and which is marked black.
Rewind to Clio09's observation about the leads being reversed from the crossover to the woofer he pulled on the Spendor 7/1's. Various crossover designs require a phase inversion on one of the drivers (usually the mid-range) to maintain overall phase cohesiveness. Check out the Loudspeaker Cookbook for reference. There would be no reason to invert your speaker leads in this case. I hope that makes sense.
Wouldn't it be better at the speaker end since that would minimize the amount of inverted signal? :)
In my integrated amp manual it says that absolute phase is inverted and that you can correct by inverting positive for negative at the amp. It goes on to say that the phase of recordings is indeterminate so no matter which way you choose, you will be wrong about 1/2 the time anyway. So does it make sense that as long as you have each side set up consistently then it does not make a difference?
Well, Let me say this not sure beyond what a phase invert will do accept cause the amp to go out of phase to the speaker and possibly suck sound out of certain situations... BUT the Invert at the Digital domain is absolutly necessary if you hear it, It inverts the "1's" and "0's" at the recorded disk and 99% of the discs I have sound far better inverted than standard, much fuller and more analog like, this is because I found out after owning a device that does it that many recordings are mixed out of phase right at the studio, Why? No clue but it works, I have only seen this on fairly pricey players however.