Like I said before, obviously your coils are not getting current flow from your vw mod. There is an open circuit somewhere. If the same coil works in the same tank (arctic) on a mech mod but not on a vw mod then this indicates that the mod is the issue, or a connection of that SPECIFIC tank to the mod. Then the only other two possibilities left are that the ARCTIC tank is not making connection with the mod ( center pos pin not connecting properly, negative 510 threads dirty, atomizer not connecting, or some microscopic size tolerance being off on the Arctic connection) . The other possibility that is that you have something inside the mod that is causing an open connection........... If you have a spare tank (which you say you do) then try to attach it to the mod and see if it fires. If it fires then you will know that the mod is still capable of firing. If it fires on a different tank then I would suggest that you take a look at the specs of your vw mod(s) and see what the lowest rated coils that it is designed for. You may be trying to use coils that have too low of a resistance for what your mod is designed for. Your mod will only fire coils that do not go below or above a certain allowed minimum and maximum.
I highly doubt that your coils are the problem because you claim that you tried the coils in a couple of other mods and the resistance values registered and read properly. Also, you say you obtained coils from a friend and they are from a total different batch of coils. So, you can pretty much rule the coils out..........
I have never had one single problem with my Arctic (I love it too) but that matters little. You sound like you have messed with OCC coils for awhile as well as tanks, mods and the like........... At first it seems logical that something is up with your mod but after seeing the recent post that you just posted then I am fairly certain that it is your tank.......... For some reason your atomizers inside the tank are not making connection. It's not the atomizers themselves because you have tried plenty of them and from different batches. You say the coils used to work in your Arctic and that they don't now. This would indicate that something has slightly shifted or changed over time... More than likely heat has caused the metal to warp over time and the coil heads are no longer able to make proper contact inside the tank. That would be my best guess since I do not have your setup in my hands in order to troubleshoot it.
EDIT: The only problem with the faulty atomizer connection theory is that you say the arctic works on a mech............ This would indicate more of a problem with the 510 connection area instead of the atomizer area. Maybe somehow the 510 area has come slightly off tolerance and is not making proper contact. When I was in electronics I used to deal with problems like this on a daily basis. They are easily solvable by the process of elimination. But on a forum via posts, it's very difficult to troubleshoot something that is not physically in my hands. All as we can do is provide you with things to checkout yourself. If you had an inline 510 voltmeter that you could screw into your mod and then screw your tank into the other end of the voltmeter then this would greatly help in a situation like this.