I'm running Android 12 on a Pixel 6a right now. I flipped up the app drawer, tapped the "Search your phone and more" at the top, and typed "bat" and it has an autocomplete suggestion for "battery percentage". The list then shows a deep link to the Battery Percentage screen on the Battery settings, then a link to the Battery settings area, then a link into the Battery usage area under the Battery Settings. Then it shows Pixel Tips for "Quickly see battery info for your devices", "Make your phone last longer with Extreme Battery Saver".
Your experience is 100% a failure of Samsung, not of Android. The stock Android Open Source launcher does the thing you're wanting. You bought a device which purposefully doesn't do that.
The equivalent would be to install a Linux distro that defaults to just a command line interface and then complaining that Linux is impossible for average users to figure out. There are other choices out there! You could have bought a Pixel, or a Motorola, or a OnePlus, or a Sony, or a Nokia, and all of those would have done this.
Theoretically, you can also install a different launcher which might do this behavior. Maybe try the Pixel Launcher?
https://play.google.com/store/apps/details?id=com.google.and...
There are lots of other potential launchers which take over the home screen UI. It won't change the settings UI or some of the other Samsung related skinned areas. You can then revert back to the default Samsung launcher.
