A touring bike will have more stable steering, will be more comfortable for long rides and is better suited for carrying large loads. A CX bike will be slightly lighter and more nimble.

For commuting, it doesn't really matter much because you won't be riding very far (relative to the distances touring bikes are made for) or carrying very much cargo (again, relative to what a touring bike is designed for). For commuting distances, your choice of tires will make the most difference in comfort and either bike will take the same tires.

I got a CX bike for commuting and I'm very glad I did because I later discovered that CX racing is insanely fun, even for slow people like me. I've taken my CX bike on (supported) 100 mile rides and have no complaints. In theory, 100 miles is plenty for the comfort advantage of a touring bike to kick in, but if I get a specific bike for rides like that it won't be a touring bike, it will be a plush road bike, because I don't have to carry cargo.

Really, the answer here is to ride both and buy the one that feels better.