Honestly, I’m not sure what a HDMI to USB cable is expected to do, and I wouldn’t expect a typical TV to have any capability to input video and audio via a USB port. They generally expect you to plug in storage drives, or just use them for power.
I’ve never heard of not recognizing a switch. Defective switch perhaps? I know some people have gotten confused and tried something like an HDMI splitter instead of a switch.
So I would say better/non-defective switch or AVR. (Which is a fancy switch plus audio.)
Or since it's a new TV, take it back and get one with enough ports for your needs.
switch is not defective. we were using it the morning before installing the new tv. cable was advertised as being able to add a roku device to a tv when you run out of hdmi ports.
Can you provide a link to the cable?
