I have to be a bit careful with the cardio (hereditary heart condition) but found Jujitsu to fit in fine with that. I stopped about a year ago though due to a shoulder injury (bursitis) after a bad break fall (was supposed to go into a roll, but when from standing straight down on to my shoulder instead).
I am considering doing rolfing or deep tissue massage to break up the bursitis, because I do want to return to the dojo. While learning self defense is a benefit, for me the primary benefit was in learning to relax, and learning to move in new ways. The discipline (of the training exercises) was also good for a calmer, more clutter free mind, perhaps because I had to be fully present - so it was grounding in that respect.
When I do eventually make it back to the dojo, I'll be curious to see what effect being more relaxed will have. I used to carry a massive amount of tension in my body, but have been finding ways to either counteract it, or dispel it. At the least, I'll give my sensei's voice a rest. The word I most often heard was, "Relax!"