I don't know anything about tendinosis of the quads, so if any SSC is reading this, do correct me if I'm wrong. Your stance on the squat isn't supposed to be narrow, it's supposed to be at or slightly wider than shoulder width with the toes pointed out at least 30° or more than you'd like. Proper depth should be reached. Food should be eaten. Foam rolling should be disregarded as should medical advice on squatting in general (unless it's Dr. Coach Jordan "Gains" Feigenbaum, PhD Esq.).
I do know somethings about coaching technique and rehabbing injuries. Because you are not experiencing any pain when widening your stance, I have to conclude that this is a technical error. Fix your squat stance and do the programme from there (so long as you're not hurting while squatting with a proper stance). Your deadlift stance also sounds wrong, but honestly not enough to where you'd expect to have serious pain in your quads.
I think there's a lot you're not telling us, so why not begin with videos of your squat and deadlift (cf the sticky on filming form videos) and telling us what your food intake and bodyweight is like.