Here is an article by SEMA about your question, it would seem that SEMA agrees with there being a problem.
https://www.sema.org/files/attachments/WTC-2011-05-Bias-vs-Radial-Tire-Wheel-Fitment.pdf Also radials on one end will affect handling. On the front they increase understeer, with a heavy vehicle this can be a problem if a change of direction is needed in a hurry. The tires will lean over more with side load instead of turning the truck. Increased steering wheel angle will be needed to make the same turn at the same speed compared to bias ply tires. The only way to know how much is to drive the truck under difficult conditions, which is by definition dangerous. Do be careful.
