I think you have it backwards: Just as recovering alcoholics admit that they are not "currently" drinking, pedophiles need to remember their addiction in order to keep it under control. That being said, the term "sex offender" is probably too broadly used in today's hypersensitive culture.
anyone who has ever learned anything about pedophilia knows that it is impossible for a pedophile to keep himself under control. recidivism is almost guaranteed if they aren't imprisoned or chemically castrated.
Cognitive-behavioral therapy along with leuprolide acetate which is mostly used to treat prostate cancer and is a synthetic gonadotrophin releasing hormone, has shown promise reducing pedophilic fantasies, urges, and masturbation. Of course trial studies note that this has to be a continuing effort. You don't need to be "chemically castrated" but it does help.
pedophiles don't recover. no matter what efforts are made.