Ejecting Ultra Studio Mini Monitor

Looking to find out if one needs to eject the mini monitor or if it can simply be disconnected from the computer.

I have an older version, not the 3G, and I notice it's extremely hot. I'd like to unplug it to save energy and I have not seen an eject with Desktop Video app.

Any help would be appreciated. Thanks

Not needed, only storage and eGPUs need an eject.