Tank raised and captive bred seahorses aren't immune to most diseases. They just haven't been exposed to them and so won't introduce them to your tank.
I'm not saying that if you keep your seahorses in the high seventies or low eighties they WILL get bacterial infections, but they do have a much better chance of staying healthy at lower temps. Yes, in the wild they live at higher temps, but in the wild, they also get 100% water changes twice a day with tides and currents, so bacteria are less likely to overwhelm them. In a home aquarium, we are providing a closed enviroment that is perfect for bacteria to thrive in, so we have to do what we can to minimize the risk to our horses.
There are people who have seahorse tanks plumbed into larger reef systems. If the horses are healthy to beginw with and you watch them carefully for signs of illness or infection, you might be able to get away with it .... I'd plumb them between the sump and return, rather than between the reef and the sump, as the reef lights will be heating the water up even more and it may be cooler coming from the sump. Any medications for the horses if they get sick will, of course, have to be administered in a quarantine/hospital tank.
Now, the other issue is, will your reef be okay with the seahorse tank in the loop? Seahorses aren't very efficient feeders (lots of food waste and nutrient-rich poop), so your reef might not like all that.
You might find that a separate tank kept at a lower temp, with a canister filter and/or refugium works better in the long run, though.