That's... Actually a good question TBH.
Only if you accept the preposterous premise that paedophilia is a disability.
The only real thing the SSA cares about in the end though is, 'With your condition(s), can you work?' Since pedophillia is listed as a mental illness in the DSM and it is the source of why he can't get work, he may be able to.
He is physically and mentally
capable of work; that no one wants to employ him should not qualify him as 'disabled'. If it does then the system is fucked up.
And the DSM is a politicized crock of shit, but that's a different matter.