The history is there, to be sure. Check their website and you'll see all the gun they produced. You'll also notice that the CZ-75-based dsign is NOT on that list. Surprising omission, don't you think? They had nothing to do with its development or production, until recently.
Both of the CZs were branches of the same company, many years ago. Various sources will tell you that the other CZ, CZ-Uhersky Brod, took over most of Czechoslovakia's firearm production after WWII, with Strakonice doing some pistol work -- mostly CZ-50, CZ-70, and CZ-52 guns. The bulk of CZ-Strakonice product work was devoted to heavy equipment and motorcycles.
The CZ-75 (and the basis of the TT design) was never one of Strakonice's guns, yet the gun we saw attached to their name during the time ADCO did the importing, was the 75. Capitalizing on a great design and growing prominence. Their only connection in recent years, was indirect, when it appears they imported Tanfoglio frames and finished assembly with Czech-made parts for export by ADCO.
They stopped exporting the TT models in 2006; the export of the rest of the "CZ" design guns had been discontinued in 2004.
There's a good summary history in the Fjestad Blue Book of Gun Values. The name "CZ" basically means "made in Czechoslovakia" (or, now, "made in the Czech Republic"); any gunmaker in the Czech Republic probably can incorporate the CZ title into its nomenclature. They can't all claim a gun-related history.
There was nothing wrong the with TTs I've seen. They did have some teething problems at first, but most of that was apparently resolved. But that was the case with the Tanfoglio-pased Witness Polymer guns, too. (Interesting parallel.) The TT guns all appeared to be close copies of the Tanfoglio CZ clones, and share only a general similarity to the CZUB models. (They appear to be nothing like the CZ polymer models, which are a much newer design.) The newer CZ/TT guns aren't available in the U.S., so I doubt few here have even seen them, except in pictures.