I think the answer is that it can delay it (there have been sporadic reports of it here) but there are not enough consistent reports to say for sure.Heard from a few folks that it delays the application when you go through the notary. This was back in 2023/2024. Wanted to know if it's still the same case now too.
My intuition is that for those who became citizens recently (i.e. by grant/naturalization) it probably isn't a significant issue - or at least somewhat less likely to be one - because IRCC already has all the info (as well as fingerprints, etc). But that really is just a guess on my part.
Or if you're time sensitive: well, draw your own conclusion.
