That little tidbit of info comes from Bitcore
And they are wrong. I have spoken to Rusty about this and we both reached the same conclusion that it is in fact possible to create a lightweight lightning client without segwit, it just is a little more complex.
Then Tell them to Update their Lying Website, until then , I will believe the website over you. 
It is a Valid Theory of Possible Danger of Collusion between LN Nodes & Miners.
The original thought confirms the possibility of the reverse.

Again, it is not something specific to LN but rather something that is possible regardless of LN being used or not
Reading Comprehension is not your strong suit,
Collusion between LN Nodes & Miners , would most definitely be specific to LN 
not some technical aspect of LN that makes it possible for only specific miners to mine those transactions.
Until LN has been up and running for a year or so , You don't really know what additional feature could be installed.

They are including an option so the miner can induce an option to ignore a block, so it does not affect the time lock, under certain attack conditions.
Adding a rotating passcode so LN knows to only include it's transactions in a Block from a specific miner , is also not out of the realm of possibility.
Would they do it , hopefully not, but would it be possible, yes it would, which is why I said Theory and not fact.
First of all, it is not option. What you are suggesting
is not even mentioned in the paper at all, just some theory that you made up
from some statements in the paper about the RISKS of LN. Those were part of the RISKS and they were listing all of the possible RISKS. These are RISKS not OPTIONS.