I use the word “neovascularity” to describe a pattern of tiny vessels running randomly through a structure. In a tendon it would suggest disrepair phase tendinosis. In a ligament it would indicate a joint capsule synovitis. In a synovial sheath it would indicate a tenosynovitis. In a bursa it indicates a bursitis and in a fat pad it indicates inflammation.
It is important to recognise the difference between real pathological neovascularity and a normal vessel coursing through the tissue bed. In places like the dorsal wrist carpus you often observe a vessel running adjacent to the joint capsule, but it is relatively large and it can be followed. It looks like it has a purpose transporting blood from one location to another and this is just a normal vessel. Neovascularity on the other hand is a myriad of tiny vessels running all over the place.
You should never see flow in a ligament or a tendon if they are healthy and normal.