I have used Carlisle tire on many trailers, utility and RV, over the years and have never had a problem. I always keep the pressure at the recommended pressure and have been fortunate not to have loss of air during travel. I believe most failures are due to either under-inflation or sidewall damage. If the tire looses air during traveling, for whatever reason, and you don't have a good TPMS monitoring system, the tire most likely will heat up and fail without warning. The Carlisle tires have been the most common brand over the years on small trailers, so it would stand to reason that you would see more failures - The cause of the failure is difficult to determine after the fact.
Radial tires have thinner sidewalls than bias ply and are more likely to sustain sidewall bruising. The radial's thinner sidewalls and tread belts do make it a more fuel efficient tire due to lower hysteresis (friction), so as with most design issues, its becomes a bit of a trade-off.
It would be really nice if there was data available showing brands, usage, failure mode, etc. Unfortunately that's not the case and we are instead left with "Aunt Minnie's" opinion "My cookies taste better".
The best thing to do, in my opinion, is whatever brand of tire you use, have a good Tire Pressure Monitoring System that will warn you if you are losing pressure when traveling. Won't be 100%, but again in my opinion would prevent most of the catastrophic failures.