Fake products are definitely out there. Platforms like AliExpress and Temu often have imitation versions of almost every major brand of power tools. These tools may have similar physical designs but lack proper branding. Some even come with counterfeit logos, while others leave it to another third party to add fake labels.
I’ve personally been burned at least two dozen times by items purchased from Amazon "shipped and sold by Amazon" arriving as fakes. These have ranged from drywall anchors and Bose headphones to a DVD that turned out to contain something entirely different. I’ve also heard horror stories about fake batteries, which I wouldn’t risk buying at all. Several coworkers have had similar issues with counterfeit batteries.
While I might order more frequently than the average person, my experience IMO shows that Amazon struggles to maintain the integrity of its supply chain. Even products marked as "shipped and sold by Amazon" can become "contaminated" with counterfeit items from third-party sellers, which seems to be the root of the problem.
Luckily for now the majority of the fakes in the tool category are pretty freaking obvious: