In Season 13 episode 23, a super-charged Lucifer says to Dean/Michael:
"I don't need an Archangel blade to kill you", and proceeds to attempt to smite him. This would imply if he wasn't super-charged he would need one.
But in Season 5, there was the whole threat of a Lucifer vs Michael fight causing global collateral damage, with Michael ultimately
being the victor.
If it was a simple sword fight that would determine the victor, then there wouldn't be a need to unleash their full Archangel power and destroy most of the planet.
So, do Archangels need to use an Archangel blade to kill one of their own?