Context is important, but I would say no. Most younger people these days in developed countries don't believe in religion or similar nonsense, so I can't imagine that being a factor.
Yes, almost certainly not an issue for applicants from eg most of North America/Europe.
But a large proportion of immigrants to Canada are from parts of the world where religion - or arguably cultural aspects (intertwined with religion). And particularly from countries where arranged marriages are common.
And I may be wrong, but I think in most cultures a mixed-religion arranged marriage is unthinkable.
Anyway, for those from cultures where interfaith marriages are rare (or worse, forbidden):
-I think the main if not only thing IRCC is interested in is if the marriage is genuine. So they'll want to see more evidence of the relationship - "more" in comparison to marriages within the religious tradition, because (perforce) the traditional rites and customs of that culture/religion's marriages are not available. (And unfortunately for many, also presence of family members, etc).
-One key warning: there is a serious and strong historical prohibition on 'secret' marriages in Western/common law tradition (and I presume in some other cultures, too). Secret marriages are basically not considered (legally) valid.
This is (one part of) why IRCC asks for evidence of the couple being "public", whether at a wedding or elsewhere. I'm sure that IRCC officers will attempt to be understanding where being 'public' is actually dangerous (in some countries for interfaith couples, in many, for same sex couples). But the couple will still need to show evidence that their relationship is real. So to the degree possible (and safe), it is important to show evidence of being 'public', even if the circle of friends/acquaintances/family etc is to a much more limited public. (Put differently, if you can only be a couple in front of your close circle of friends, that's a LOT better than nothing).