

That was my interpretation too, except not restricted to “modern” websites. It sounds more like any website, modern or not, JS or not.
The part that is funny in that situation is that probably means web browsers are considered “app stores”. From a technical standpoint that’s actually pretty accurate (though they also handle running the “app”, unlike a regular app store), but has the fun consequence of making web browsers also “app store stores”. Most browsers can be used without an account though, so I look forward to the dumb antics companies with large legal departments come up with for this one.
They do use handheld and never define it, but I can hold my laptop with my hand so I’m not sure that’s necessarily a good way of disqualifying laptops. That also seems to strictly apply to the operating system (“runs an operating system designed […] for software applications on handheld electronic devices”), which might be a fun legal quagmire as well since Linux is designed for all sorts of platforms. If I install Linux on my (formerly) Windows laptop does it suddenly become a mobile device?
It does bring up another interesting niche of computers: handheld PCs, especially handheld gaming PCs. Does this law apply to Steam Decks?
This whole thing screams “written by tech illiterates” since it seems to ignore regular computers and only focus on phones when it’s all just variations of the same thing – form factor and the software running on top isn’t very relevant to whatever goal I presume they’re trying to achieve. If they really want to collect everyone’s ID, age, and other privacy-violating information they’d be better off doing it everywhere. But maybe I shouldn’t give out advice for speed running fascism…