NHDeafSpouse,
It should not as there are, and probably some on this forum, many ci users who are still on SSDI.
One note, the ci is not going to "restore" your husband's hearing but may give him access to sounds that will allow him to "hear" similar to what he heard before. There is a thread going on right now about zebadee who was hearing and lost his hearing several months ago in an accident. He was activated just last week with his ci and he is relaying his experiences. there are also several other adults with cis participating in the thread. Please check it out.
Rick