I am merely trying to say that it would be nice if all the insults, stated directly or implied, would stop.
Unfortunately, I don't think they will stop as the claims that some people are invested in are themselves insulting. They depend, for example, on the idea that the direct students of O Sensei made things up (or some other related version of this) when they allegedly weren't actually instructed on what Aikido is supposed to be. I have suggested a way for new things to be added without the need for such implied or stated insults. But it will require compromise from those who are bringing what they take to be a new or rediscovered influence, both in terms of claims and arguments made, as well as in conforming to training norms in Aikido.
The extent to which the existence of the voices who advance these connected claims and beliefs about Aikido even matters is debatable. Maybe it won't matter in the end. Already on Aikiweb as an example it is pretty much impossible to have a discussion based on the mainstream notion of Aiki as non-resistance and harmony. So it already matters there. To the extent that people who are drawn to this other way of training, as described in the post I linked to above, try to infiltrate with an approach that differs from the usual Uke Nage training system, it may be a serious problem for the practice of Aikido. What is Aiki and how should we train in the dojo are central questions that must be asked and answered, if even implicitly, every time someone enters the mat. If we don't agree about these things, are we even training the same art? And if the training process for each approach is different, then we cannot train both approaches at the same time.
Training approaches and meeting on the mat. I don't see a problem. In Bills dojo you follow his approach, in Jack's you follow his. It's manners and etiquette as much as anything else and thus there is no problem.
Central questions as you put it are only central to your particular way, no one elses. If one style emphasizes competition, another softness from the start, another tough physical exercise, another spiritual, another any depending on the individual teacher, all different styles or approaches in the same art.
The truth is get better or if you can even supreme at your own style and represent. Then you or I or anyone wouldn't have to worry about anyone elses and indeed would expect them to have their own way.
Only then can people meet and compare and learn from each other without the need to put the other way down or prove betterment. It would just be harmonious sharing.
A bit like the first friendship demos were meant to project.