Hello Andlkv,
These are justifiable evidence for a common-law partnership to be considered as true and valid according to the instructions and requirements by IRCC and as stated on their website.
Despite your spouse being rejected, you can still be approved if you meet the eligibility requirement of the study permit. Your spouse's OWP was assessed and evaluated based upon the SOWP eligibility requirement which was failed.
It is good you have already requested the GCMS notes, and if you eventually get approved, with the notes, you can quickly submit a letter of reconsideration to the visa office that handled the application or reapply again for your spouse from within Canada after your first semester. Within this period, your spouse can begin to improve on the raised concerns by the officer and including other areas that may be of new concern to the officer.
Best of Luck