Pulling a percentage out of my ass that can't be terribly inaccurate, 99% of police encounters with guns drawn the police are under 21 ft away, at which distance a knife is as dangerous as a gun.
If someone is less than 21 ft from you and they are going to be using a knifes against you, then you should still draw a gun just as often as if they had a gun. So at <21 ft you think guns should be drawn less because they have knives you should also be thinking guns drawn the ~exact amount less no matter which of the 2 weapon they had.
And one way or the other, none of that is a problem is other countries.
I don't dispute that. But in most those 'other countries' literally anyone could be hiding a knife as easily as someone in US could be hiding a gun. So it appears in the vast majority of the cases where people are already right next to each other where both a knife or gun could kill someone, whether it is a knife or a gun is almost a moot point. It's only at a distance that you can treat a knife as a less lethal threat. Therefore the problem lies with the police, by vast majority.