The art's basic principles and martial effectiveness. If one does his own variations within the art's basic principles, then it is aikido. No need to call it "this or that" style aikido, is just aikido. I don't hate anything either, i just disagree with putting different names on it. It's my opinion anyway...
Is this not exacty where all the discussions get fueled?
There is no agreement on the basic principles it seems. And there is little agreement on what exactly is martial effective. The latter is quite easy to answer: In Aikido there is always an escape, so it is not
martially effective. Aikido was not intended to be. Aiki jujutsu is.
The basic principles for me are those that occur to some degree in every technique. (we emphasize shi sei, ma-ai and kino nagare).
But sure I agree with you there is often no need to distinguish between Aikido practise. One might argue that the only distinction would be Aikido and Tomiki Aikido because on the outset practise and intend is different.