I hear you. So here's the counter:
A character's passive perception is "always on".
Yes, that's the previously-stated alternative. Passive Perception is either "always on"; or it's "only on when you're perceiving passively", and turns off when you're perceiving actively. Both methods seem equally supported under the definition of Passive Perception, so it's down to the individual DM for which method works best for them.
So when you walk into a space the DM should be saying to himself.. "Is there anything in this scene that my players would pick up on?" when the scene opens. If so, he shares that with the player who has the appropriate passive score.
That could be where you're losing me, is that I've never been comfortable with thinking in terms of "scenes". Likewise, if something is usable "once per encounter" then that's equally meaningless to me. Surely, what constitutes a "scene" or "encounter" is simply a matter of the observer's perspective. (Fortunately, 4E defined encounters sufficiently through the use of five-minute rests.)
For me, I think in terms of objective metrics, like feet and minutes. If the third pillar on the left has a notable feature that would require a DC 17 Perception check to find, then I wouldn't consult anyone's Passive Perception score until they got close enough to actually see it (probably around ten feet); if they started actively surveying the room before they got over there, then they would only get the result of their active check, which could well be lower than their passive score.
I don't see where our interpretations are different, at all save for the fact that mine comes into play proactively. The Rogue's Reliable Talent is not the same thing - it maxes out at a roll of 10 (active roll at that) and isn't an optional rule as Passive Perception is.
If a high-level rogue is surveying the room, then they're guaranteed a minimum result on their Perception roll (and coincidentally, that minimum result is equal to their Passive Perception score). That's a benefit of being a high-level rogue, under my interpretation of Passive Perception, is that actively looking is never worse than passively looking. Under your interpretation of Passive Perception, everyone gets that benefit.