Looking at the tire specs available online, the Continental tires were to go on a 6" rim and the Goodyear tires could go on a rim from 6.5"-7.5". If you have 6" rims, I would say no to the Goodyear tires.
1/4" to 1/2" seems like sufficient gap but that seems too close when you hit a bump and the coach is bouncing down the road. It is also so close that it may allow a piece of gravel, or other road debris to become wedged between the tires, which could quickly cause a sidewall failure. The dealer that installed the tires should have checked the specs regarding dual spacing.