I think its the other way round. For many years there have been calls for the Police to be armed, by the police. The media, as usual, just stretch the truth and make a meal out of nothing.
Yes you are probably right that they would not have a chance to draw the weapons, however, I think they would of gone in armed as they would have limits on when they can and can't pull out a gun, e.g. armed robbers, can, and shoplifters, can't, etc.
The problem is that people don't respect and fear the police any more. Children as young as 8 will insult them because they have wrongly learnt that they are "bad". But will a gun make a difference?
IMO, yes & no. Yes because it will make the officers feel more safer, therefore making them feel more confident when going about there day to day business. However, some of them will be too cocky and probably use the gun where it is not needed, which, as seen a few months back, will have consequences.
I don't think there is much they can do anymore. This country is turning into a "crime haven" where when the Police get smarter, so do the criminals!!