In terms of dealing with petitions, the House of Commons has control only through the Standing Orders to oblige the government to prepare a response. If it goes to a government department and it doesn't go to the House of Common, well clearly, it's not for you. But if it goes to another department as well as to you, the department may or may not care. And because it does do that, it doesn't give you, as the House, some additional responsibility or obligation, nor does it impose anything on the government. The government's obligation to respond to a petition is due only to the fact that under the Standing Orders, there is a requirement to do it when it goes to the House of Commons. If it goes anywhere else....
I think what we see here is perhaps a misunderstanding of the process on the part of this applicant.