Sure, and then your buyers get the counterfeits that have been commingled into Amazon's inventory.
You can avoid this by not recommending products that are fulfilled by amazon.
To give you an anecdotal customer perspective I won't buy anything from Amazon that isn't Prime-enabled and fulfilled by Amazon. To me that's the only upside of Amazon - fast, reliable and free (if the subscription fee doesn't count) next-day delivery of the goods I ordered.
I can get similar prices and often better seelction elsewhere. Fulfillment is Amazon's greatest strength in my opinion.