Having had the unfortunate experience of coming across a body, I can tell you that it is not pleasant.
In our case we were crossing Georgia Strait with three small children in our Albin 25 when we came upon a scene where a boat had capsized; one person had been rescued by the first vessel to arrive while a second person was missing.
After a few minutes of searching we found the body floating face down. The tasks of informing the Coast Guard of our discovery, keeping the children out of eyesight, getting into the dinghy, and latching on to the body may sound easy to do, but in the stress of the situation it was not. My wife was wonderful by the way, in seamlessly taking the helm and corralling the kids.
The worst part was not knowing if anything could be done for him - he was over 200 pounds so could not be retrieved into the dinghy, and going into the water to do any CPR stuff was out of the question (it was not a millpond.)
Eventually the Coast Guard hovercraft came and retrieved him. By that time we were surrounded by circling looky-loo boats that did nothing to calm the seas.
If it happened again, I would not handle it any differently.