I too experienced TI as a kind of wonderland when I first found it some 20+ years ago. I had never seen all those cheese and oils. They carried Wolferman's monster english muffins, which seemed way cool to me, as well asClarendon Hills butter which was made relatively locally and came wrapped in paper, suggesting all sorts of artisinal goodness.
There's also some colorful history surrounding TI which, alas, I'm rather fuzzy on, but someone else may know more. There was a long period when the various partners were all actively suing each other for control of the business. I don't know if it was one black sheep, or multiple factions or what. But for quite a while, there was always about to be some court judgment that potentially threatened its existence.
I believe that the suit had something to do with the use (or diversion) of assets to finance the late lamented Gold Star Sardine Bar, which for a while had a stream of great jazz/caberet performers performing in a room that sat about 6 people. Apparently the business model didn't work and so there was a great deal of intra-owner tsuris about the money involved. Again, I can't recall if they all owned the bar, or just one of them or what. (I believe that all this drama was actually the subject of one of those classic, epic Reader cover stories at one point.)
As to all the pickets out front, that too, I believe was covered by the reader. As best I recall, TI is/was (?) a non-union shop and the union wanted in. According to at least one version, the employees actually received packages as good or better than the union did for its members elsewhere, and many/most were pretty happy. The pcketers (and I in no way vouch for this version or my memory of it) were, at least largely, union members who did not actually work at the store.
Needless to say, I'm sure there is a passionately felt other side to this, but that's what I rememeber.
"Strange how potent cheap music is."