The public event kill target especially on Earth is defective.
So many times they are near impossible to kill and they get to the end point way to fast.
Either fix it or you'll see even more ignore it. All it seems to do is use u all your ammo for nothing.
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As a 31 with maxed legendary weapons I have enough firepower to take them however I (usually) need a second guardian to keep dealing damage whilst I reload as the pause, nomatter how short, seems to give them time to fully regen the shield. Once I've knocked a bit of health off they start to run/teleport as well and I just don't have time to knock that shield down again.