Seems Microsoft has fixed this. My Logitech C510 now works with the native driver. So you probably won’t need to carry out the procedure in the video, and in the text below, unless your webcam model still has the error, or a later Windows 10 update(s) will break your webcam again.
Those who have already changed to the USB video device driver, according to the instructions given here, can revert to the native Logitech webcam driver, using pretty much the same procedure.
The latest Anniversary Update of Windows 10, messed up Logitech webcams. This is a workaround, until Microsoft addresses the issue, which they’ve not done, as of the time of me writing this.
This workaround consists of opening Device Manager, selecting Imaging Devices, and finding your camera there. Right-click it, and choose a driver from a list of device drivers on your computer.
You should find the Logitech native driver, which you must NOT choose. You have to choose the USB Video Device, which is a Microsoft generic driver, which can be used for your webcam.
When you start your webcam, after restarting the computer, you’ll probably get a message saying the generic driver will give you reduced functionality, and less support for the webcam, and you’re prompted to install the Logitech driver.
Don’t do that until you know that Microsoft has fixed this issue!