Couple questions, what battery are you using? standard ego? riva? mod?
Where are you buying the atties?
The reason I ask is, MOST people get at least a month out of one, some are on month 4 or 5. But I have heard of a few random people that have had the same experience as you. This tells me something in your method just isn't working with the tank atty. The law of averages says that to have 6 or 10 or more (seen other claim 10+ in a very short time) atties die in a day or two to the same person has to mean there is a reason why it is happening, not just bad luck, or bad product.
I am not saying it is your fault at all, just saying you might have batteries that are a little out of the right voltage range, a certain brand or "darkness" of juice, something that would cause them to die sooner. Just trying to find the corrolation between the ones that have been dying very quickly. Maybe we can figure out why and save some grief for other people.
Brew
I have three batteries, two 1000 mah autos, one a 650 mah pass-through, all genuine Joye from Cignot. My attys are an even split between Cignot and VK, not that I think that it makes any difference. Initially, I was vaping 100% VG dark liquids, until I read here that those don't work with the T atty. I switched to mostly 100% VG light liquids but a couple attys later, started ordering 40% VG liquids from MFS - which I like much less: I'm not allergic to PG, but either don't like the taste or really prefer the slight sweetness that 100% VG adds to the flavors.
In any case, I don't think that's made much difference, I lost two attys within a week after that.
I've been really careful with my setup, treat it like it's made out of glass, and regularly flush my attys with iso and hot water - usually have two in rotation, sometimes three. Unlike many others, I've never had a problem with leaks, and have only run into the "burnt taste" thing with one atty, which seemed to respond well to having the wick pushed down a fraction of an inch.
I've managed to stretch two attys, one LR and one standard for nearly two weeks now, but the solution was buying boge cartos and breaking my 510 batts out and using that when I want to "chain" and treating the T like a glass of red wine, just taking an occasional sip.
One atty pretty definitely died because it wasn't wicking properly. All of the other ones, it's like I set the PV down working and when I picked it back up, the atty was dead - except for the LR, which died the day I opened it, no burnt taste, it just stopped working.
I guess the upside is that I've perfected my cartomizer filling method.