The “tags” that appear on Amazon product pages are user-generated tags and can be as helpful or spiteful as any user comment. Publishers and individual authors have no control over what tags customers associate with any given product.
The best practice one can do, if one is so inclined, is to navigate to the “Tags Customers Associate with This Product” section of the page and select ONLY the tags that are true or beneficial. This will weigh the selected tags heavier against the malicious tags.
To be frank, if this were going to have any significant impact one way or another, it would require thousands of selections instead of ones or dozens, and recommending this course of action to your authors would probably help them to feel more in control but otherwise waste their time. In fact, the most memorable use of this feature was to flag books as “DRMd” or “DRM-free” to help tech-savvy customers make purchases that reflect their ethical values. People do still flag products this way, but I haven’t known a massive push on this front for years. This makes me feel relatively certain that the impact of user-generated tags on search functionality and product discoverability is minimal.
These user-generated tags are in no way related to the tags publishers associate with their products at submission, which will always play the primary role in search functionality and product discovery. It is likely that your publisher has either good or good enough practices in place for their own distributions, but you may always query your editor about what metadata they’re associating with your book. Like most decisions, however, I would not recommend using your marketing instincts to try any correct their decisions; instead, consult with someone who knows about SEO before reacting to your publisher’s information. Being informed instead of reactive will help everyone involved.