I will disclose promptly in writing to Company all Innovations conceived

The Company could argue that if he publicizes an innovation the day after the clause expires, then it is overwhelmingly likely that he 'conceived' of it when the clause was still in effect. They could burden any startup, contractor, or hobby work with an expensive legal bill if they wanted to - and offer to make it go away in exchange for a stake in his new venture.

And if they didn't want to do this - then why include the clause? Not just include - add it after he has already been hired.