Let me help you with this.
Windows detects your mouse even if you don't install a driver. All hardware is designed to identify itself to the operating system (there's even a standard naming convention) and the operating system records the identity of all connected hardware (even if not currently connected).
You are not seeing a mouse driver per se. It's an update to a Logitech software component which includes a driver. Not all drivers are installed by users.
Logitech software could be on your computer for (at least) two reasons:
- It's already included in Windows - The operating system ships with code for very many hardware devices. That's how 'plug and play' happens.
- At one time during your computer's life, it might have had some Logitech hardware or software, even if it was ultimately uninstalled.
The update comes to you from Logitech (so you should direct any complaints to them) not Microsoft. Microsoft does not have the proprietary knowledge (or the legal right) to write drivers for other company's hardware. In effect, Logitech is saying to Microsoft "here, take this and install it".
No harm is caused to your computer by accepting this update. If it's being offered to you, that means it's safe for your computer.
For all these reasons, the safest thing to do is to let the update install. It's best to take the long view about this: If you deny or delete this update, you don't gain anything. But if you ever at any time install software from Logitech, it could be affected by this missing update.