No. They are sarcastically saying that people making those complaints are doing so figuratively, not literally. Find one person who has genuinely suffered a surprise headache after looking at this site and you’ll have a stronger argument.
Accessibility doesn’t mean everything should be available to everybody at all times. That would be universal direct accessibility, which is impossible. Those without the internet or computer access cannot use a grocery website, but the grocery store is still open, and thus the groceries are still indirectly accessible. Providing an elevator as well as stairs means the 2nd floor is universally accessible, even though some cannot use the stairs.
Here, the content is provided by default with an unusual design. That design is part of their brand experience, which is why it has been posted. Some people cannot view through that experience, but they can still reasonably access the content using assistive technology. Thus the website is indirectly accessible.
Remove the design and you make the experience inaccessible to me. These are trade offs, not absolutes.