What is your citizenship? If I read correctly, and you are American, then you will not be approved for conjugal.
The reason is that American's do not have an immigration that prevents them from coming to Canada for 6 months, then extending their visitor visa, in order to reach the 12-month mark for common-law. Several members have done that, so there is no impendiment there. Or he could live with you for 6 months, and you with him for 6 months to qualify.
Work or study commitments are not considered to be barriers by CIC. There needs to be a legal or immigration barrier, as mentioned in the quote you posted. Being refused visas, being in a same-sex relationship in a country where it's illegal, but not being ready for marriage and not wanting to leave your studies are not considered valid reasons.
Your options are to qualify for common-law, or to get married, but conjugal will not work if you are an American citizen.