My two cents say to proceed with the changeout. A completely wornout GoodYear, if its a US made one, would be far superior to any new China Bomb in the market place (regardless of brand) today. Either way, only by proper inflation, periodic & proper weighing your RV and preventive maintenance will you realize the full potential of your roundy round things. A good TPMS tells actual inflation pressure & temperature and nitrogen inflation (no moisture-corrosion) will help you achieve long miles on your tires.
Any import company for China Bomb tires has no skin in the game and will simply refer you, the customer, to the manufacture who is located where - in China. Need I say more?
I run GY H117s on 17.5" wheels with no problems at all. That said. . . 1.) I have a TST TPMS system for the TV & RV (10 sensors) that provides temp and pressure, 2.) I inflate tires only with N2, 3.) I double check the tires at each rest stop and 4.) I perform recommended preventive maintenance items not only for the tires but the entire suspension at recommended frequencies.
Travel safe (maintain it) & enjoy your journeys!