Intel motherboards usually have great stability, with little in the way of standout performance, meaning average at best.
If you're in the situation where stability means more than performance and featureset, Intel over others like ASUS would probably be good. That said though, ASUS and ABIT are usually very good for stability as well, as long as they aren't using certain VIA chipsets. (VIA has a bad record in the past for making bad southbridges mostly).
I personally, never used an Intel motherboard with my past Intel machines (I only use AMD lately). Some of my past systems still used Intel chipsets (like the E7205 "Granite Bay") but in ASUS motherboards, because they usually offered more features.