Here is what I would do, I know that it isn't a great thing, However need to work it out. I personally would remove the Down wire, reboot or power down and then power up the POE Switch. Once all the other cameras come online I would then remove one of the working ones that have all come back up, Unplug one wait 10 to 20 seconds and plug into the Down port. Check to see if that port comes back up. If it does then there is an issue with your wiring or it might be that your POE switch it only supporting enough juice for 1 of the cameras when it comes to night time when extra current is needed to support the LEDs on the cameras.
There is better solution then using the ATTE- X POE. I am sure there are some out there that it works just fine for. Yet some of them most likely are using extra power also from ATTE.. If the camera distance from the area when connected to cameras has a long enough service loop to pull wires to the cameras without having to pull new wires, I would wire the system using 2 pairs in the cat cable, 1, 2, 3 and 6 match to both ends and then using the next 2 pairs do the same again matching both ends. Now the camera can connect to their own port on the POE switch and no issues with the camera needing more power then the Poe switch wants to support.
There are cable splitters out there if you don't have crimpers for the RJ45 and the ends.. Many different ones offered at different cost points.. Personally look for the best not the cheapest. Using bad wires in the set just makes your systems weak point. But what it does it offers a T where if you look at it like this bottom of the T would be incoming from your switch. Top of the T out to cameras, at the other end where your switch is it is about the same thing. There is some systems that are not like that and are just pair of wires with female on 1 of the parts 3, on the other end 1 female and 2 males that would just plug in to the switch.. Only down side is again not knowing the quality of the product. If it is real copper or CCA and normally cost more then buying a
crimper and a pack of RJ45 ends. However I did notice that the price has come down a lot in the last few years now there are more people offering the same type setup..