I don't think it's unreasonable to expect that someone being inundated with constant reminders of something to be conscious of that something as long as he's being reminded of it.
If you don't think that believers are being inundated with constant reminders of God, fair enough, but then you're not the sort of believer I was describing.
Well, we're probably just going to have to agree to disagree. My gods are literally all of reality itself, and I can tell you that my mind definitely does not constantly think about how all of reality is divine at every waking moment. Animal thought and attention just don't work that way, matter of fact.
Look at this way: you're constantly surrounded by air, and thus constantly being inundated with reminders of its existence. How often do you pay attention to the air? How much do you pay attention to the fact that you're breathing? That you're moving through air? That wind is blowing? Probably very rarely. Just because something is universally present and in theory should be "reminding" you that it exists, doesn't mean that your animal brain is going to focus is attention on it. Like I said, human consciousness and awareness is telescopic. I find the expectation that anyone should always be thinking about anything - and I don't care what it is or if there are "reminders" or not - completely unreasonable given how our brains work.