Well, grammatical quibble then.
Your verbs are present tense and not past tense:
Plex requires a Plex Pass subscription
Plex doesn’t allow you to watch media on your local network
This gives the impression that you're talking about the current state of things. Which seems to be the above commenter's issue.
Where as:
Plex required a Plex Pass subscription
or
Plex didn't allow you to watch media on your local network
Would imply a past experience.
Misinformation doesn't mean that you're intentionally lying (that is disinformation), it just means that you're stating facts that are not true.
(I'm not being negative, just pedantic lol)
To actually contribute to the conversation:
Plex now allows local network streaming without their servers being offline as long as your client is already authenticated (cached tokens have a short expiration date however)
Alternatively, you can add your LAN's subnet in Settings > Server > Network > 'List of IP addresses and networks that are allowed without auth'
Here's a full written guide: https://forums.plex.tv/t/howto-use-plex-with-no-internet/383325