I like fat tires for touring. Touring speeds typically aren't that fast given that you are (a) carrying extra weight and (b) riding a long day. YMMV on this though.

Personally I find a fatter tire makes for a more comfortable day in the saddle and better handling on uncertain road surfaces. Lately I've been riding my 1993 Bridgestone XO 2 a lot lately as I'm getting ready for a gravel event. The bike has road geometry but it's build around 26 inch wheels. I'm running 26 x 1.5 tires; they're cushy on all kinds of road surfaces and accelerate nicely (the rims and tires are reasonably light weight at 400 grams for the tires and 440 for the rims). The bike is plenty fast and handles great. IMHO, this is one of Grant Peterson's better designs: