

You’re assuming that the dramatically segmented and stratified experience is the “exact same service”, which is patently not true.
There’s a world of difference between a black officer who managed a supply line, a white non-comp who maintained aircraft, and a queer rifeman who witnessed half his unit die to an IED. And that’s ignoring rape, gang infiltration, religions discrimination, and plain ol “was your CO a jerk or awesome?”
Pascal’s wager is a defense of theism in general, not a specific flavor of theism. If you accept that there is a God, any God, then you can reason and argue about which way to worship her is correct.
If you do not believe that God exists, however, then the particularities of which godhead you worship are irrelevant trivia.
If God or Brahman or Kamisama exist, then they are aware of the imperfect worship flavors that they receive and have appropriate accommodations included, if they are worthy of worship at all. (Please note that Zeus is not included in this list, because that guy’s just a rapist bastard.)