Certain types of publications, sure, but not in others, not without problems when it's discovered. Let's not be cute here - the Aikikai lied and got caught. Saying that "everybody does it" doesn't excuse it.
No, not certain types. All. So saying certain types but not in others is you being cute not me.
Lying about the reason may be a point to investigate, yes. Again even if the reason given is a lie then even that has to be understood properly before making assertions.
The answers are usually stupid when found based on someones stupid view. No big plot.