what you are looking for is probably something like "Wireless HDMI." As far as I am uninformed, it is not yet established in the consumer market.
But the advantage is certainly the transmission of image and sound without cables to appropriate monitors.
I also don’t know if there are solutions for this where, possibly, one PC can supply multiple monitors with different images.
For me, however, a certain "stumbling block" remains the following scenario: quickly connecting a USB stick or USB device (mobile hard drive, camera, phone, ...) to the work computer. That would no longer work with an "outsourced" computer.
Otherwise, I would think of power-saving PCs that are supplied via Google Stadia / Cloud Gaming.
edit:
I was one of the first to have a Steam Link back then. Used it a few times to stream from PC to TV. I don’t even know if it’s still available?