Well Larry, dovetail saws have a thinner kerf and more teeth per inch because they are used for that sort of joinery. You must also remember that dovetail saws are filed rip.
Does that mean that they don't cut crossgrain? Not at all, they do but not so well and the same applies viceversa.
If I were you instead of wanting an all purpose saw, I would buy a good dovetail saw ( that you don't have now) and later on buy a tenon saw. Or viceversa if you think that you're going to make more tenons than dovetails which I doubt, because there are more dovetails than tenons on a piece that has at least one drawer.
With the dovetail saw you'll be able to make good dovetails and if you need to cut tenons you can still make them on your table saw without much trouble.
If you want to make dovetails with a thicker and less teeth per inch saw, you can but the final result will be dissapointing or so I think.
If you do not want to spend money on a premium saw, the veritas dovetail one seems a good choice to me.
These are my two cents, I hope they help.