Your Point 1: The 1612/1603 errors are a Microsoft install error, not an EA App error which means that something in Windows, not the EA App is preventing the actual installation path and execution of the EA App Software.
My Response: I'm expected to believe that, of the dozens and dozens of applications I have successfully installed and use daily, my windows install is bunk.. even though the EA Desktop installer is the only piece of software that has an issue. Also, I never had this issue with Origin.
Your Point 2: Past just reinstalling VC++, the better step is to uninstall it completely and check the following
Install/Repair your VC++ files for the game (Microsoft VC++ Link)
Put your device in a Clean Boot then launch the game
Download and update DirectX - I create a new folder on the desktop and install it straight into that folder
Try Safe Mode with Networking
My Response: As I have said before, I have done this multiple times over the past few months and it doesn't help.
Your point 3: You can also install another random game that would install all of those anyway to get the most updated versions of them.
I've attached a pic of the 50+ working games I have installed via Steam. This doesn't include all the other games I have installed via other avenues.
Your Point 4: Once you rule these steps out, you try a new Windows Account
My Response: Naturally I've tried this, both with an official Windows Account and a burner 'no email address required' account.
Your Point 5: This will tell you if there is an issue with the one you log into at which point you can run the System File Checker tool
Repair Windows
Repair your HDD/SSD
My Response: I just ran this via CMD booted in admin mode. It didn't fix the issue.