IMHO, I agree that most people think having other workouts is cross training even if it doesn't directly enhance the first or primary activity. Since learning and conditioning is mostly activity specific, cross training has a limited enhancement correlation.
I also suggest that a firm foundation in an art is a good idea before cross training.
That being said,
Yep, been doing FMA/JKD longer than I have been doining Aikido, though Aikido is my primary focus now. Also swim, run, jump rope, bag work, and lift weights.