Canada doesn't have a $2 bill it has a coin. This isn't a good comparison.
We shouldn't have $1 or $2 bills because they fall out of circulation too fast, but everybody interested in this topic knows it already.
It's bizarre how antiquated our cash is and how there is no appetite for removing the penny from circulation either. I really thought we were going to pursue this like 20 years ago but nope... our government is too dysfunctional for even these types of changes