Please note I have no personal stake in this, and I wish you good luck if you choose to apply in current circumstances/file as described - but I think your application as conjugal will be refused on several grounds.
Canada has insanely dictatorship-style border control in regards to the covid-vaccine. She (principal applicant), is not vaccinated, therefore is her entry barrier.
Basis for refusal will be, she could get vaccinated, or you could travel to her country to get married.
You have not demonstrated any legal barrier that I can see to marriage, either.
It's a tricky situation, however I've gone over the link you sent and I see no issues, no direct mention or implication that we must have met in person.
I thought I had a reference that spelled this out explicitly but can't seem to find.
But the simple answer is: conjugal partner requires a
conjugal relationship. And a conjugal relationship is commonly held to mean a number of things, including having a physical relationship. You can ask a lawyer if you wish. This is the implication that you must have met in person.
Easier perhaps to understand the analogy: to qualify as having a married relationship by IRCC, couple must have physically met - proxy marriages are not recognized. Common-law: well, by definition, have lived together. Common element: physical presence.
And again by definition: conjugal relationships are 'marriage like.' If you have not met, it is not marriage-like.
I repeat: up to you. But I feel quite confident in saying, personal opinion, that your application as it stands will be refused. Good luck though.