If you want Retread/Remold tires go ahead and buy these.
They claim that "retreaded tires" use pre-cured rubber which is only partially true.
Maybe those that use the "Bandag" process for for many decades pre-cured treads on Passenger and LT tires has been replaced by the process of extruding uncured rubber onto a prepared carcass using a machine called an "Orbitread". The "built" casing is then placed in a mold where the rubber is cured with it's new tread.
Call it a re-tread, re-mold, or whatever name you want to market it under, the quality of the finished tire depends on the quality of the casing the new tread is applied to.
Most of them have already lived out their intended life and it's possible you are getting a "retread" with a casing that may have even been recovered from an auto salvage yard where it ended up after an accident. Age of casing? Your guess is as good as mine.
Like the old saying, "If you want prime, good quality, oats, be prepared to pay the price. If you will be satisfied with oats that have been through the horse already, they will cost less".
If you go with the Treadwright's, good luck and make sure to keep your proof of purchase handy so you can use their warranty. Id advise just buying some NEW "China Bombs" rather than the retreads.