A link would be useful to this discussion, because
> they do not support sites such as LendInk
does not make it clear whether this just means they don't actively support them, or if it means that they would actively reject them from the affiliate program over it.
Amazon doesn't 'support' blogs on various topics, but many of them may be on the affiliate program.
FWIW, I ran a site last year very similar to LendInk, and was told by Amazon to make changes that they wanted within 48 hours or they would close my Associates account and Product Advertising API access. They do keep the Kindle lending club sites on a tight leash.
It is possible to run a site like this and stay on Amazon's good side, but not easy.