If I may offer some 100% not a doctor or medical advice, resistance training is great for EDS in my experience and that of others. The only thing to be aware of is it WILL hurt for awhile. I go to a gym that has a full complement of exercise machines (free weights + hypermobility = easier to injure) and started lower body exercises on the lowest weight, a whopping 10 pounds. I’m gradually working my way up but am taking it really slow. I’ll eventually move to light to medium weight free weight exercises, but not for some time. The hypermobility in my knees and hips has significantly decreased and I’ve regained a fair amount of flexibility (hypermobile folks tend to get tight muscles as we age since we use them to stabilize our joints).