I’m no tire guru but I’ll assume that the tire you mentioned as a lower load rating than something than a pr4gt or similar.
I think it is possible that you might find less traction. Along with maybe stickier rubber, you get a weaker sidewall. Throw the 800lb c14 into curve and what will happen? The sidewall will flex, the tread
will then have less than ideal contact .
I now have a worn out pr4 ( not gt). I was on a trip in AZ, someone knifed my tire and the only tire the shop had was a non gt pr4. What I noticed was it had more flex; the gt has a real nice stiffer sidewall that compliments the tread. It gives a slighter stiffer ride but really feels good in the mountains.
In a nutshell , I’m saying if you want better traction, look for a tire with high load rating that has stickier compound. A tire is a complete package, look at it as such.