This really isn't an issue of vagueness.
If the rules were not vague and not crystal clear to everyone, then why did you feel compelled to write up a long post on it?
An Orc is strolling down a trail and not actively searching.
A Rogue is hiding in light obscurement.
1a) Does the Orc get a passive perception vs. the stealth check of the Rogue?
1b) Or does the Orc get a passive perception (at -5 for light obscurement) vs. the stealth check of the Rogue? 1c) If so and the Rogue cannot hide behind cover, during what type of hiding does the Orc get a normal passive perception vs. the stealth check of the Rogue?
Now a different Orc shouts out that someone is in the bushes. The Orc is now warned and alert, but the Rogue is still hidden from this Orc (but not the other Orc).
2a) Does the first Orc now get a perception check vs. the stealth check of the Rogue?
2b) Or does the first Orc get a disadvantaged perception check due to lightly obscured vs. the stealth check of the Rogue?
If you answer:
1a) Yes.
1b) No.
1c) Then you need no answer for 1c.
2a) Yes.
2b) No.
Then you are ignoring the lightly obscured rules for disadvantage.
If you answer:
1a) Yes.
1b) No.
1c) Then you need no answer for 1c.
2a) No.
2b) Yes.
Then it's harder to find someone when you know that they are there than if you do not know they are there.
If you answer:
1a) No.
1b) Yes.
1c) Then you need an answer for 1c.
2a) No.
2b) Yes.
Then you need an answer for 1c. If the Rogue cannot hide behind cover (like a chair) as you claimed, when can he hide and have normal passive perception rolls against his stealth?
Or is your answer that he cannot hide behind cover or behind lightly obscured areas, and can only hide while invisible or behind total cover or behind heavily obscure areas? If so, then hiding really sucks.
Sorry, but this stuff is still vague. If you could clear up these particular questions, I would appreciate it because I have been scratching my head over them.