I rinse with water, but every tank has a set of nets. For less than $2 per net it's not worth the risk and I don't worry about a dip.
Every once and a while I do a diluted bleach dip and then a soak in diluted prime to sterilize them.
Anything you should be worried about transferring usually wont show up for a little bit. Something could take eight months to show up in your tank. Are you going to know it was the net you double dipped?