Charles seems to have forgotten the golden rule of modern royalty: never make comments about sports, religion, or politics.
The PoW's tour so far has been less than stellar and is not attracting much attention. Charles' invisible and somewhat unpopular wife doesn't help a lot either. It is impossible not to contrast them to William and Catherine or even Harry alone when they were down under.
Golden Rules? I was taught they only applied in a Military Mess. Moving on, I would advise you to take a really good look at an atlas and see just where New Zealand and Australia are. They are two far-flung English-speaking members of the Commonwealth.
We share a common language, common slang, and a very uncommon, almost sibling, rivalry. When it comes to sport we don't take any prisoners when we play against each other. Rugby, Cricket, Netball, we don't discriminate. However, when one is playing and the other is not, we are more likely to support each other.
If you are reading stories like the one where "Charles and Camilla got frightened by a bee" . . . really, then I guess the tour is less than stellar. But that is not what actually happened, it is what reporters wanted to happen, only video coverage exposed that outright lie. Instead, it was a very funny and endearing moment where we were treated to Charles and Camilla at their best. Laughing at what happened and probably even what could have happened. In point of fact, humour seems to almost define this tour.
As to Camilla being Charles "invisible and somewhat unpopular wife", that doesn't track here at all. She has been anything but invisible but, as that is your personal opinion of Camilla, the reality is not the point you wish to make. However, since your personal animus toward Camilla obviously colours your opinion then by all means continue to do so, but please have the courtesy to preface your opinion with
IMO.