here is how i understand things:
if you are weak off the chest ie: the beginning part of the ROM, you need to work your lats and chest more. more rowing, pullups, illegally wide bp, db press, palms facing, floor presses in some cases. this is how i understand it.
the further up your ROM that you are weak, the more delt and tricep you need to add in. more floor presses, board presses.
understanding the transition to dominance of each muscle group throughout the movement can help those that use this compound movement as a "chest builder" or whatnot. then that trainee can select exercises that are more specific. whoever told blondbomber that board presses would help his chest was misinformed. generally speaking board presses are great for lockout work, working with a shirt.
the next thing to consider is ROM of the humerus. here is the test, how much ROM do you have with an elbows flared BP? now tucking the elbows a bit how much more ROM do you have? maybe thats not the only argument to substantiate my claim, but then we have flexibility. most people who bench elbows wide can't touch their chest without shoulder pain, because the ant. delt is stretched so much. even less ROM and a potential red flag! so its a matter of possible "max" stimulation in the eyes of BB'er, with greater injury potential OR less stimulation, as its thought, and a more safe movement.
next argument: constant tension. constant tension is bunk as it relates to this movement. if you want constant tension do slow flyes. you'll get more ROM and thus more tension throughout this ROM. The point of a compound movement is progressive overload. you can progressively overload a group of muscles and also distribute it over multi joints. keep the constant tension stuff to isolation movements, that involve only one joint. you don't hear about people bragging on a PR on side raises, flyes, or leg extension. its not thier purpose.
So here is the choice:
bench safe, bench specific to the "weak" points you want to bring up (if its cosmetic, learn the mechanics of a bench press and find out what exercises you need to use to target that area), use isolation exercises as accessories. moderate rep flies as a follow up. just like a PL'er will do max effort work, which would seemingly fry their triceps, then do some moderate tricep work later in the workout or later in the week to keep improving.
just my take. its hard to apply PL'ing principles when the lift is performed differently. elbows flared makes the lift somewhat different to diagnose. but a slight change can improve safety, longevity and give you some means of "pinpointing" what you want to achieve from bench pressing without taking away from the effectiveness.
my $.02
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