Thanks ScipioAfricanus for following up.
I did my searches on a macbook using Safari, but since I was in the USA at the time googling the search terms "gifts for girls Amazon" took me to Amazon.com. And that's where I was sent when I accessed the site directly from my browser without going through Google first.
But Amazon.co.uk, where you searched, is an entirely different & separate site from Amazon.com. If I'm in the UK, I can buy from Amazon.uk.co, but to do so I had to set up a separate account for the UK site specifically. I can look at Amazon.co.uk from the States, but I can't order anything from it.
I doubt Amazon gives a flying eff about us - or the Times, for that matter. A big secret of Amazon's direct-to-consumer retail operations is that they've always lost money & are still unprofitable even today when here in the US they've come close to putting brick 'n' mortar retail out of business entirely. Amazon's biggest business is Amazon Web Services or AWS. AWS is the largest non-governmental operator/provider of cloud computing services in the world, catering to huge multinational corporations, governmental organizations like the CIA &, Pentagon, along with various national governments globally. AWS is what supports all the rest of the Jeff Bezos empire, including Amazon retail. With retail, Bezos has always taken the long view: disrupt the market, dominate retail, & once dominance has been achieved, aim for profitability. So though Bezos as a person (as opposed to a business owner & employer) is in some ways quite woke (as illustrated by his ownership of the Washington Post), I don't think he & his company could give a hoot if some customers or critics castigated Amazon for presenting consumer items in a sexist way. With so few shopping alternatives left, even people who hate Amazon will still shop there regardless.
I think what probably happened in this case is that the Times gave misleading info due to imprecise reporting & sloppy editing. Or so it seems to a nitpicky literalist like me. Instead of saying they searched on Google for "gifts for girls Amazon" they should've said they searched "gifts for girls Amazon.co.uk". Sure, they might've only typed in the single word "Amazon" but they should've made it clear that when someone in the UK enters "Amazon" in the Google search bar, what comes up is not a generic, universal Amazon, but a much smaller site, Amazon.uk.co. The Times, after all, is an internationally-read newspaper. But maybe that's what the Times was trying to convey when it put that second set of quotation marks around the word Amazon in the sentence I found confusing.
When I Googled "gifts for girls Amazon.co.uk" I got what you did. First this:
Amazon.co.uk: Gifts for Girls: Toys & Games
www.amazon.co.uk/Toy-Gifts-for-Girls/b?node=2174085031&tag=mumsnetforum-21&ie=UTF8
Results 1 - 24 of 74 - Online shopping for Gifts for Girls from a great selection at Toys & Games Store.^
Then when I clicked on that link, I also got what you did. Not a list of 74 mostly sexist "girl" toys containing from the get-go a lot of home appliances & household drudgery tools, but an endless number of toys & games of all sorts for all types & ages, none of them categorized in a sexist way.
So there's still something fishy about this story, though I can't pinpoint exactly what it is.