Well, if you think about the bench press, it's a triceps dominated lift. So the closer my hand placement is, the more my regular bench will go up. To me, using a regular or wide grip for maximal effort work is more the ego talking than trying to benefit from what you're doing. I know from experience that 9/10, the harder you make the exercise, the better the results.
Max effort work has about 10% to do with lifting as much as humanly possible believe it or not. It's 90% trying to BENEFIT from what you're doing lol. It has way more to do with the work involved inside the > 90% range. So if you want to increase your bench press, and you know it's 90% triceps, 5% delts/back, and 5% technique, then I'll be hammering away at what's most important.
And if a trainee is whinning about being weak off the chest, I wouldn't fudge with the grip vs. hammering away at speed work, supplementals, and technique.
Closer grip > More Triceps > Shoulder Health > Bigger Bench