Is Tennis Valuable Cross Training?

I am soliciting the readers' input on whether tennis (singles, not doubles) is valuable cross training for a runner. My observations indicate that playing a full match of singles tennis with an equally ranked player can be a tremendous workout. However, after a week like this one, in which I played tennis three times, and only ran three times, leaves me with questions, and a feeling like I didn't train properly. The day immediately following tennis, in particular, seems difficult, and the first mile of my run was slow and awkward. Usually by the 3rd mile my legs felt better, but I can't help thinking that the muscle use is so different from running (side to side vs. straight ahead) that tennis could actually be detrimental to running. A typical tennis match for me consists of about 1 to 1.5 hours of play, with many small sprints, which can't be more than 5 or 10 meters, maybe 20 meters when chasing a lob shot from the net to the baseline. At the end of a long rally, I am quite winded, but short rallies don't accomplish much aerobically. Overall, it seems like a good workout, including the arms, but I'm wondering it really helps with running and racing. Any thoughts?