I've had both.....and while both are great bikes they're polar opposites in every respect.
If you're doing primarily roadwork then it's clearly the Strom, while if the emphasis is offroad then it's the DR.
The Strom's ability offroad is virtually non-existent.......and when I did go on the dirt with one I wished I had something like a DR or XT.
And obviously in terms of power there's no comparison between the two......the DR may feel a bit more gutsy pulling from a standing start but that doesn't last long.