Z1 heat may be a problem. I did some tests using a Windows laptop with 4K streaming using OBS and a USB-C cable connected to the USB 3 port of the laptop.
A thermometer and exclamation point icon appeared, but I continued to stream for hours after that. In my test, air temperature was 72F, which is fairly cool. If you stream under lights, heat may be a problem. Z1 was charging while streaming. The battery charge went up.
I did not test streaming to a cloud service like YouTube for a long period due to bandwidth restrictions at my home office. If you’re streaming to YouTube, the Internet connection may be a problem for 4K video streaming.
As the Z1 has a larger body than the V, it may have better heat dissipation.