There's not much the Container Farmer likes 

less than being led down the garden path. (Whaa... ? Never mind...)
So, in addition to the (hopefully) good stuff you'll see here, you'll also get to see the things that go wrong. If, as they say, we learn the most from our mistakes, the Container Farmer must be Mensa material.
We tried fabric (natural burlap) liners in some of our SIPs, before we hit on our current one bucket construction method. It seemed to save labor, and let us get away from having to use two nested buckets. Others have reported success with landscape fabric, and burlap seems to perform well in other landscaping applications, so...
Alas, it seems not to be as good an idea as we'd hoped. Not all of them failed, as you can see, and we think the failures were in areas that were exposed to air, as opposed to being mounded over with potting mix right up to the rim. We think we would not recommend this technique unless you knew you could minimize air contact on the upper side of the burlap, and knew that you would definitely be emptying the container at the end of the season. Your mileage, however, may vary.
We also had a weather related loss, due to heavy rain, and lack of staking. This time last year we were nowhere close to needing stakes.