You should be able to just pull the plug at the system that currently power it VIA the hard wire kit you have gotten installed, and then temporarily try and run with the cigar port power source.
Some times even the most dedicated fail, i am myself in another hobby blowing 400 BAR rated hoses with just 260 BAR pressure, brand new hoses last just minutes.
Clearly there is something wrong as i can not be so unlucky or inept in the use that i gotten 2 faulty ones, one lasting maybe 10 hours of use and its replacement 2 minutes.
So i have notified seller again, and asked them to test some of the hoses they have.
And as i can not be without i have ordered another brand hose from another place.
If you try the 12 V power source and the problem go away, clearly there is a issue with either the hard wire kit or the install of it, this mean you and the brand can proceed with more targeted solutions, so you can be under way with what you paid for,and functionality you expect to have.
I have been in this hobby for well over a decade, malfunctioning hard wire kits i can not say is something i heard very much off in any brand, and i don't think vueroid is any different even if they are new players in the game.
This on / off behavior is also seen by the people that would use a in CAR USB plug to power a dashcam as these build in ports are often under powered, i can not count how many times we have tried to help some guy with issues, and then 2-3 forum pages into the process find out he have been creative in the powering of the system ( it could also be a multi port 12 V USB charger as he / she wanted to have ports for other stuff too )
Anyway finding out that, getting the person to just try the provided power source have always cleared their problem.
These Vueroid systems ( no personal experience with them ) i think are 12 V so not possible to make that mistake in powering them, hence why i am assuming it might be a issue with the install of the hard wire kit, and here a less than optimal GND source is often the culprit, even for seasoned installers.
If your 12 V ACC wire was on a circuit that might come and go as some will these days on modern cars, i would assume as these are often timed, you would see a pattern repeating with the system going off / on at regular / same intervals.