What a delight, we have something in common as I find ironic that you feel being an authority in this question while stating that "
root and jailbreaking are the same, the only difference is that one installs another app store".
But let's get down to business, even if I have to repeat myself because you are either lazy to read or to understand what is written:
1. Let's quote the notorious sentence you are preoccupied with: "... "superuser" abilities you gain with Android root". Root is "superuser", which means that with rooting you gain "superuser"/administrative abilities, permissions, if you like.
"As Android uses the
Linux kernel, rooting an Android device gives similar access to
administrative (superuser) permissions as on
Linux or any other
Unix-like operating system". (
Wikipedia)
I would not be surprised, if you challenged the Wikipedia statement as well.
2. Root and Jailbreaking are similar, but not the same. They differ in scope. Rooting is a much deeper process than iOS Jailbreaking. Apple's OS is not an open source system, meaning that you cannot make changes to the actual source code. Android however, is an open source operating system and allows you to do much more than just install 3rd party apps. Rooting gives you full access to your device on a level exponentially greater than Jailbreaking. Not only does it allow to gain priviledged control of the device, overcome limitations that carriers and OEM's put on a device, but also unlocking the bootloader allows you to completely remove and replace the entire operating system (custom ROM), and you can even access and adjust settings such as processor speeds (overlock or underlock). Additionally, root users can access the flash memory chip on the device, which is not possible with iOS.