Not a stat guy, but I do think about the 5 minute mark makes sense.

• you have time to recover from an empty net goal.
• the big advantage is sustained pressure and forcing long shifts, you need time to get some players on the ice for 2+ minutes.
• drawing a penalty from the extra pressure isn’t very useful if you only get 30 seconds.
• you can put the goalie back in if you tie it up.
• you can pull the goalie at a more opportune time when you are established in the zone.