No, as I mentioned she was already a toddler when they got here. I think they were just looking for a less shitty place to be Algerian than France where they were before. Give her (and later her Canadian-born brothers) a better future and all that.
Even the MacDonald Laurier institute’s most aggressive estimates in the link you provided are something on the order of 2500-3000 kids born to so-called ‘birth tourists’ per year. That’s a rounding error in immigration or birth statistics. As policy problems go that’s a very minor one.
Having a kid in Canada doesn’t mean you yourself get an immigration status you didn’t previously have. Citizenship attaches to the person born here, not the non-resident parent(s). Non-residents are not exempt from removal just because they’ve had a child here who is a citizen.
If someone is born in Canada, grows up in Canada, goes to school and eventually works in Canada, I don’t know what else to call them but “Canadian”.