You're fine, all XLRs are wired the same, well I've never found one that wasn't.
@lordmelton @nothelle Just so you know, in the US pin 2 of the XLR is non-inverting ('hot' is a terrible term to use as it implies the pin 3 connection, often called 'cold' is somehow related to ground, which it is not) while pin 3 is inverting.
In Europe it is common to do it the other way 'round. In any event its no worries- plug and play. Not surprising you hardly heard any difference when inverting the polarity of the system.