The question is not whether they can detect an influx of fake positive reviews on a product, it’s what to do about it. How do you tell the difference between someone review bombing their own products with fake positive reviews and their competitors review bombing them with fake positive reviews to try to get them banned?
Maybe you decide that sounds too difficult, so they should stop banning listings for that and focus on policing the reviews themselves. But that actually turns out to be a very difficult problem in itself! Sellers of crappy products will often include notes that induce/bribe the customers into leaving fake reviews. A seller of cheap products can rack up thousands of verified purchaser fake reviews this way.
They can also do things like hire a botnet to purchase the product in bulk using thousands of hacked PCs all over the world and get those PCs to review the product, generating more fake verified purchaser reviews.
In the end, if you don’t ban sellers for fake positive reviews then you run into these tactics and it’s very hard to police individual reviews. If you do decide to ban sellers then you have the opposite problem of dealing with sabotage.
As for detecting “influxes”, that problem is far from trivial. If a review bomber is using a botnet of thousands of PCs then it’s quite trivial to stagger the timing of the fake reviews over a period of weeks. It’s not like they’re forced to push a button and have them all hit the review page at the same time.