My Elite Profile Resets To Default Every Time I Restart My PC

This is expected behaviour given how the profile is stored, and once you know the distinction it is a one-time fix rather than a daily click.

The Elite Series 2 has a small number of on-board profile slots stored in the controller itself, plus the profiles you build in the Xbox Accessories app, which live on the PC. A profile saved to an on-board slot travels with the controller and persists through reboots, through reconnections, and onto other machines and consoles. A profile that exists only in the app is applied to the controller at runtime by the app, and when the connection resets, as it does on a reboot, the controller reverts to whatever is actually stored on it, which is the default.

So the fix is to save your profile to a slot rather than only to the app. In the Xbox Accessories app, open your profile and use the option to save or assign it to one of the controller's slots, then select that slot on the controller using the profile button. After that it survives a reboot because it is genuinely on the controller.

Two things that catch people. The slots are limited, so if they are all occupied you need to overwrite one, and the app does not always make that obvious. And after assigning, you must actually select the slot on the controller once; assigning it without selecting it leaves the controller on the slot it was last using.

It is also worth updating the controller firmware while you are in the app, because profile storage handling has had fixes, and a controller several versions behind can accept an assignment without persisting it correctly.

One way to confirm you have done it right: assign the profile, reboot, and then check the controller on a machine without the Accessories app installed, or on a console. If your remapped paddles work there, the profile is genuinely on the controller and nothing can reset it.