Have you looked up Brand Gating too? My (admittedly limited) understanding is that Brand Registry is step #1 and Brand Gating is the next level beyond that: https://www.helium10.com/blog/selling-on-amazon/brand-gating...
In general, I think there's frustration for smaller companies and brands that Amazon (understandably) doesn't retain resources to support individually.
Somewhat perversely, someone claimed on the forums (I’ll try to add the link if I find the topic), that one way to get brand gated is to buy up the counterfeit products being sold under your listing/ASIN, and document and/or send them into Amazon. It seems that until you’re being widely counterfeited, there really is nothing you can do proactively.
Amazon has been an overall net positive for our company, but the difficulties of trying to get a knowledgeable person to answer pressing questions usually create headaches for me at least once a month. Even as a large volume seller through Amazon Vendor Central, we’ve been given boilerplate legalese about needing to provide photocopies of the certificate of our trademarks in order to initiate DMCA takedowns of stolen or copied images and text. As great as Amazon is for consumers, the vendor support can often make you feel like you’re howling at the wind.
The issue with the Amazon case management system is if you encounter a customer service rep who has no idea who you're talking about, there's no way to escalate the support case at all. There's no live person to talk to. So, you end up playing roulette, often having to submit the same case multiple times until you get a rep who is able to help.
you can probably get somewhere by messaging [email protected]
Apply to the brand registry with your trademark info and you’ll have access to tools to proactively protect your brand.
Amazon is taking this sort of behavior very seriously and has added systems in place to help prevent this.
In addition to the brand registry you might also want to check out their transparency program.
https://digiday.com/marketing/amazon-grows-transparency-prog...
https://www.forbes.com/sites/wadeshepard/2017/12/05/amazon-g...
But, as I said, from the outside, that report link does seem like a viable "option to fight back"; in reality, it's a customer support black hole.