I don't see why to take a normal screenshot, you do one thing, but to screenshot an entire page, you do something else or go elsewhere entirely, that's why I'd prefer the safari implementation.
There is a system implementation of screenshot feature on iOS. This works the same in any app. But safari adds extra functionality to it that other apps can not do.
Our screenshot feature is made in a way to always capture the entire page because you can get screenshot of what is visible on the screen at anytime with a standard system screenshot tool.
One thing I can ask you is to expand our open source documentation at help.kagi.com/orion to make it easier for people to find about favicon menu and screenshot tool. You can click edit icon to edit any page of the documentation.