I have run treadwrights before with no issues, but am currently running some imported MTs off of Amazon. Be aware, the TWs are on the heavy side of things, but not absurdly so compared to other E-rated tires.
The only consistent negative thing I ever heard about retreads in general was to not run them at super-low pressures because any minor imperfections from the re-molding process are most likely to be exacerbated by the increased heat and stresses from allowing a lot of tire flexing. But, I have also seen a few articles where folks ran them with beadlocks at 5 PSI with no issues, so those negative impressions might have been very early examples, or a few isolated incidents that got spread around.
However, I can concur that you can also find plenty of imported tires of fine quality for as cheap as, or cheaper than, the TReadwrights. My wife's ride is running some imported ATs that have been fine for the last 30k miles except a modest highway whine, and I am running some imported MTs that I bought at $800/5 tires (shipped), and love them.