You know Chuck, I have seen you do acclimations and it seems that you are taking it slowly, but keep in mind that inverts really need an extended, temp. appropriate acclimation. It should take a couple of hours or longer to acclimate a sea star, urchin, clam, shrimp etc.
So maybe your method can be improved. That's not to say you won't have losses, but you can reduce the risk by the following:
Place animal and its traveling water into a 5 gallon bucket. If there is not enough water to cover the specimen, start with a pitcher. Slowly drip tank water into the bucket and if you cannot set the bucket into a sump, then also place a small heater in there.
Once the bucket is near full, pour off a large part of the water and repeat. You want to try ad completely replace the water over time so that no traveling water goes into your system.
Many people aerate the water but I do not. I feel that there should be plenty of O2 coming in from the display, and aerating can cause the pH to change radically. Comments from other reefers welcome on this subject!
Also, when dealing with urchins, you need to be very careful about exposure to air. If you allow it to come into contact with air, then hold it business end up and make sure there is no air trapped inside. Hard to describe, but basically you want to gently bleed off any air that may have been injested. You will see bubbles. I do NOT allow urchins to be exposed to air and have never lost one until my overflow went dry during a power outage.