Hi Yuriy,
1. It will be logical if next CTRL + A or click on corresponding tool button will "Reset" STF to non-stretched state, Stretch - Reset - Stretch - Reset - ... ;
There is already a keyboard combination reserved to reset STF: Ctrl+F12
There is also a tool button on the ScreenTransferFunction interface window that can be used to the same purpose; it is the standard Reset button that you can find at the bottom right corner of most tools.
2. Even clicking CTRL + A could be boring...
Could "Auto Apply" feature be added to STF? If it will be turned ON then there will be no need in first CTRL + A click after new image will be opened, after that CTRL + A will work as expected, first click will "reset" (see #1), second will stretch, etc.
From my experience, applying STF AutoStretch automatically upon opening images would create much more problems than solutions. It is also somewhat incoherent with important design patterns in PixInsight (don't give the user false impressions about the raw data).
There is now a script that applies AutoStretch to all open images. I wrote it in response to the wish list thread that you mentioned, but I hadn't the time to finish it appropriately. You'll find this script on the Process Explorer window:
Scripts > Utilities > AutoSTF. Right now this script is very rough (it just applies AutoStretch to all open images and can't be interrupted), but it can be refined and polished with a GUI. I think this script is the best way to implement the functionality that you are describing.