After a hard ride or jump school, I use ice boots. I have a set of 4, one for each leg (MacKinnon) and also hock boots (Reitsport). I put them on while I untack, groom, putz around etc. Sometimes I will leave them on the horse in his stall while I ride the next horse. Cheap, easy!
I dont do anything. I only jump 3'0-3'6 at the most. I will sometimes wrap if he is going to be stabled over night, but he generally doesnt stock up and I usually have him turned out in the evenings after lessons.
I ice my TB after a jump school, even though we are not jumping anything over 2'6" yet. he has scar tissue on his right hind so I ice his hind legs. if I have the 20 min to watch him (usually when I clean tack) I will put him on the game ready, but if not he gets hosed off and out on the patience tree to dry with professionals choice ice cells in a set of SMBs.
I used to cold hose after every strenuous workout, but now I use the IceVibe boots on my driving horse after every drive. I figure I have them, why not get full use out of them. And they're so easy to use, and nice to let them do their job for 20 min while I take care of rest of the horse.
Ask yourself: "Can I do anything about this?"
If you can, do it. If you can't... then you can't and leave it at that. Worrying achieves nothing but stress.
If you've ever run or worked out hard and been sore, I think you would agree that a little ice can help even a "non injured" tendon after a strenuous workout. Helps reduce inflammation. My horse is older and has some arthritis and he will at times get a little stiff in the hocks and have slight swelling. The ice boots reduce that quickly and easily. I also use Sore No More linament and sometimes I will wrap/poultice.