Ah, the rings.
Well personally of course I would scream if someone was mutilating my body, so you are right in that regard. But leaving aside my personal opinion for a moment, it is generally not done to train, pose, or demonstrate techniques in public while wearing any sort of 'decoration'
This is not restricted to earrings, but also piercings, wedding rings, watches, belly buttons, concert wrist bands, etc. This is not only done out of propriety and etiquette, but also because it is a bad idea to wear anything that could come loose, tear out, or hook into something else while practicing. It is endangering to you and your trainingspartner.
As to the comments: nothing of what is displayed in the pictures on your website has to do with ninjutsu training. There is not a single pic that shows good form, or even something remotely resembling a technique that is actual ninjutsu. Most definitely not the pictures of you and brad. And honestly, most of the techniques look pretty sloppy as well. As long as you leave those things in place, isn't it fairly obvious that you still don't care about learning, but only about 'feel good' and personal status?
I mean you say that you want to learn for real, so why continue with the feel good stuff? Additionally, you remember me telling you that it was against the Bujinkan rules to belong to another ninjutsu organization?