When riding two up is it safer using a rf because of the heaver side wall?

Does anyone feel uneasy riding two up on a non rf knowing that the sidewall is much thiner than a mt tire?

I have 15000 miles and ready for new tires and am considering RF, non RF, or MT.

I live in NY and have both flat and twisty mountain roads. I'm not looking for a tire that i need to change air pressure when riding twisty roads or when i ride two up. With the Stones 40/ 40 was fine for everything.

Thanks for any help..........Richie