Common-law status becomes conjugal partner status if the couple is separated by immigration but not legally separated in a relationship. And he is not just good, he should simply send an updated family information form through the web form. At a work permit stage, this is NOT a problem but should be corrected in order to not become a problem later. Also, as a common law partner of a skilled worker (if that is the case), your partner and the kids can come to Canada with you and she will get an open work permit. Best regards
Common-law status doesn't become conjugal. Once a couple establishes common-law status, they remain common-law even if they live separately, as long as the relationship continues. A conjugal couple have legal and immigration barriers preventing them from becoming common-law in the first place.