Important here is how you are defining polarity.
For a single-pole device in an AC circuit, the only applicable meaning is which side is the supply and which is load, and hence whch of the terminals remains live and which is isolated when the contacts are open. On a bare MCB this might not be significant but in an assembly e.g. with terminals and busbars there might be a preference or requirement to connect the supply to the side with better protection against accidental direct contact.. When the contacts are closed, the device has no sense of what orientation it is being used in, because the current is alternating.
For a DP or SPSN device two parameters are involved, supply / load and line / neutral. Obviously SPSN only has a tripping element in the line, so although again supply / load probably makes no difference, L/ N polarity is crucial. In a DP device specifically intended for SPN service the contact closure sequence might be defined with neutral closing first and opening last, so there might still be a difference between line and neutral poles.
On DC the situation is different, because the direction of current flow has a direct influence on the behaviour of the device, and MI's will tell if that is important.
This reminds me that one of the things I definitely want to make a video about when I eventually have time for that. is about the different meanings of polarity in different situations that are often not clearly distinguished. The main ones are:
Negative / Positive; which of two terminals in a circuit has the greater potential to give out electrons.
Anode / Cathode; which terminal is actually giving out electrons.
Neutral / Line; which terminal is held at earth potential.