IP complaints are part of the game when selling on Amazon. But there are very different type's of IP complaints to look out for. I will speak of the ones I know the most about.
The used counterfeit IP complaint. If you sell a used product and get an IP complaint, it's damn near impossible to prove authenticity. How can you? The product was used. This is the most powerful tactic companies can use to kick sellers off the listings as we have seen with the Popular Textbook Category on Amazon. If a law firm test or brand test buys the product from you and says it's not real, you have no way of proving it's legit.
It doesn't mean you'll be banned for life, but it does mean that you have no strong arguement. Even bringing up the doctrine of the second sale and any argument for being able to sell their product won't hold strong because they are claiming one of the products you sold is not real and you have no way to prove it. Used IP complaints almost always favor in the brand.
The "non-legitimate" new counterfeit IP complaint. Similar to the above case but in reality very different. If the brand of law firm representing the brand (eg. Vory's) claims your item is counterfeit and you have invoices you have a chance. In fact, you could even try and sue the company for false counterfeit claims. Perhaps that would be more lucrative than selling their items on Amazon LOL.
But even this new counterfeit IP complaint is effective for the brand to use against you because they often twist the definition of what constitutes a legitimate product. For example, if you're selling a toy and the brand always includes and instruction manual for that toy with the package and you don't, then you are effectively selling a "different version" of the product that is considered counterfeit. Sure, you didn't pay a Chinese company to create a cheap counterfeit the product for you, since your product doesn't include everything they consider needed to make it legitimate it's considered a different product.
Admittingly, I am not an expert of fighting this type of counterfeit claim... but I can tell you I have had friends have success pushing back against the brand in these scenarios. However, there is little to no argument to be had for used counterfeit claims even if your product is legit. Your Goodwill receipt ain't holding up.