When and where are all these tires issues happening for people? I have played five rounds with my cart; Vision Quest (mostly level and free of debris), HSSA (rough here and there but lots of hills), Bryant (fairly clean with moderate elevation), Acorn, (rough ground with moderate elevation), and Bassett (mix of clean and rough ground and mostly flat with one hill).
I reserve using my cart for long rounds, tournaments, when I have my kids with and they have things to carry, and or just want to have more storage with me. Otherwise I have a wonderful Grip bag that has the same disc set-up cart and I use it for my solo or recreational rounds.
I have seen no issues with my tires, or anything else. I even had my feet slide out from underneath at HSSA while carrying it down a steep hill and it landed hard as I used it to arrest my momentum.