Consistency is the key in all things.
You can't dismiss the "flavour" in one instance yet rely on it in another.
You either accept that in Night Fight no unit an select a target beyond 36" without qualification or you allow some degree of interpretation based on the wider practical considerations, as the rules themselves instruct us to do.
As Wildcard says the only tangible benefits are the improvements to cover saves. Suggesting that not being an eligible target is a benefit is a more nebulous concept that requires you to look beyond the "black and white".
For example I could equally suggest :
Illuminated units gain no benefit from night fight, so that means they can be shot BUT night fight also confers the detriment of not being able to shoot beyond 36". As it is only the benefits that don't apply, the detriments must still remain. So a unit that was itself illuminated, from having been shot at last turn, wouldn't be able to shoot back at an illuminated target over 36" away because while it does not get the benefits of being stealthed, shrouded and hidden it still suffers the detriment of Night Fight of not being able to pick a target past 36".
Obviously it doesn't work like that and simple common sense means that the illuminated unit is in a pool of light that lets everyone shoot at it without any Night Fight restrictions.
That's the problem with only considering blinkered RAW interpretations, with GW's style of rules at some point a value judgement has to come in, for consistency you need to find that point where an interpretation fits all situations equally, nothing is as simple as black and white.
But do feel free to rage and froth a bit more.