Hi
yes, almost simular here, except I seem to have another model of the Cinema Display, there is no green light ar the front, and the 3 cables are fixed to the monitor. One power cord, one mini DVI connection to iMac or MacBookPro and one connection to charge the battery of a MBP. I actually did not cut the powercord to the monitor, but switch the power to the monitor on an off with an external switch. Principle is the same.
I notice a problem in communication between the computer and the screen. When starting up here comes a signal to the monitor, but the monitor does not accept it. Sometimes there is some flickering, a vague ghost image is sometimes visible, but then the monitor stays black. By unplugging either connection cable or powercord (to the monitor!) this process repeats untill at a certain given moment (it can take 5 till 10 times of trying) the monitor ’awakes’ and acceps the signal. It does not loose the signal once it works. Monitor seems still OK, I can switch resolution or rotation in software, so the driver is OK. I run High Sierra, the Apple Cinema Display is some 10 years old, a real quality product!
I wanted to avoid stress to the small DVI connection so I only interrupt the power to the monitor, and to make this easier I mounted an external powerswitch in the powercord to the monitor.
When I want to leave my work for a while I switch the monitors to a screensaver. If I do not do that, and the screens turn black (=monitor sleep) I MUST repeat the whole above process. The monitor does not directly accept a signal from the computer after sleep, it does not wake up together with the computer screen.
I once read that this is a cord problem which Apple has not been able to fix. Untill then I use this life hack. I do hope my comment is some kind of help for you too.
regards
/atelier