If officers don't engage because they are insufficiently equipped, you effectively have less policing. Less policing causes more violence and more deaths.
Why pick out a random statistic like knife crime? It sucks, but matters much less than the following statistics:
US has 4 times more intentional homicide rate vs. UK. US has 18 times more murder rate vs. UK.
I think the evidence is quite clear that the UK with police that are less heavily armed have better crime statistics, fewer police deaths, AND fewer civilian deaths caused by police.