Must admit if fishing to snags I do point straight at the snag, but with a very tight line, and hit every bleep, so the fish doesn't make it. You have to be right on the rods, no excuses, and singles are best for that.
It is very easy to play fish around slack lines, as pretty much the line drops straight down from the rod tip, so all playing is done past the line, and the untouched line never comes into play.
Current has meant I have to be fishing tight lines the past few years, but the distance involved from rod to end tackle means I can play a fish around other lines. With three rods on bars it is probably the middle rod that is hardest to play and land a fish on!
Even then, daytimes you can gauge the line as you play the fish and keep it below or above the other lines. Not so easy at night though!