AMD is more energy efficient (definitely under load, not sure about idle and near idle), but has significantly worse IO, especially for a device with only 4 USB-C ports that are supposed to be as universal as possible. Much of that universality is lost with the AMD variant and there are 3 different types of ports with different amounts of universality/capabilities.
Plus AMD has a history of their firmware and drivers not being quite ready and stable on launch. But you could argue that the post-launch firmware update was already a major step towards stability and it’s a mobile platform with limited modularity, so that there are not tons of different variants that could be untested / unstable and yet to be discovered.
You’ll have to decide whether IO or performance / energy efficiency is more important.
Both Intel and AMD advertise new display output capabilities (DP UHBR10 and faster) for their CPUs, but to my knowledge FW did not implement this in either variant (and I am not sure if it would even be possible, given that no other device so far has claimed support for it), so the IO differences seems to be rooted mostly in amount of display-capable outputs, USB4 ports and display-support on those USB4 ports.
So you are talking about turning off the monitor with its own push-button?
This is complicated. HDMI and DP are designed differently. HDMI is far “dummer”. So it really depends on how the monitor behaves when you turn it off (that can range from GPU cannot possibly tell its off to the monitor acts to the GPU like the HDMI cable was unplugged).
Since you have DP into your GPU, the USB-C hub needs to convert what it may be able to tell about the HDMI monitor into DP format.
I can tell you that default behavior for Windows is to switch to last active audio device and monitor configuration for the current set of attached monitors (I do not actually know what Windows ties audio devices to). So the first time you attach a new audio-sink, Windows will switch to that. If that was the active output when you disconnected it, it should switch to it, when you plug it back in. In fact, Intel and Nvidia drivers under Windows have a habit of declaring the same monitor as a new audio-device far too often, so it more often switches to that as output than it does not.