Is there any way to use my old Logitech Quickcam Express on Catalina?
Generally speaking as long as the webcam is a standard USB video device, it will work as those drivers are included with macOS.

However, those vintage webcams required Logitech drivers to be installed as it was a DSC WIA device per C|Net so it needed a Mac specific driver.  What you’re seeing is that the webcam is detected and identified, it just doesn’t have the proper drivers to work.