I think that’s nitpicking a little too much.

There’s a hundred features available on every device at any one time. It’s gotta go somewhere. UX and UI design is very difficult, doubly so when discoverability has to be balanced with small form factor devices.

Safari on macOS doesn’t have address bar page search as you suspected but it’s a different device and thus has a different design / experience. More specifically a physical keyboard with shortcuts that are expected to be used but also a menu bar where features can be tucked away logically (e.g. edit > find, etc.) The share (action) button on mobile safari sure seems like a logical place to put it, given the space constraints and hey, you found it! And now you know the search bar also searches the page.

Beyond that, pull down to search has been in iOS for years now and is included in multiple locations, including the Home Screen itself and the settings app.

I won’t sit here and pretend everything is 100% consistent and that the design language is adhered to and perfect. It’s not and it’s probably going to get worse until a new set of rules is developed or is refreshed again.

Hardly anyone is going to find every feature and figure out how it works without help and the more that our devices advance in power and capability, the more that has to be tucked away and designed for. If a useful feature has 2 or 3 ways to activate it and you find one them, its mission success. Just because the other ways would be more convenient for you to actually use doesn’t mean it’s a terribly design. It doesn’t mean anything at all in fact. It just happens because there’s millions of users who use these devices around the world and we’re all different and you just happened to not discover all the ways possible to perform one specific action with multiple routes to access it. But you did discover how to use it. And you were taught a different way by someone else. What’s the problem again?