As Sidharth Monga argued persuasively (in an ESPN article}, "a batsman trying to fight off a tough period hurts his team terribly in a short 20-over innings. Much better to take chances. If the runs come off the middle or off the edge, like they did for Suresh Raina in the World T20 semi-final against South Africa, it's all good. Players who take a few balls to get going are a liability compared to players who are willing to take chances from the word go."
Proposed solution: West Indies can mitigate against this by allowing the newbie Sampson to open with Hope.
You cannot have 2 batsmen at the opening slot behaving like diesel engines, who only reach full power after getting hot.
In the Super 8 stage we will be giving up way too much advantage in the opening position particularly when batting first.
In the Super 8 stage and generally in T20 game, every bit of advantage counts.