In other words, say, if I have 20 reputation on Stack Overflow, does it count toward the ability to chat on https://chat.stackexchange.com/?
Stack Overflow and Meta Stack Exchange have their own chat servers, that are apart from the "general" chat server that handles all other sites.
The privilege FAQ wasn't clear about this. Also, from what I can tell, my Stack Overflow and Meta Stack Exchange reputation are counting toward my general chat reputation (it equals the sum of all my accounts where I have at least 200 reputation, including SO and MSE, taking into account caching). I also remember the moment when that sum total crossed 10,000, and at that moment I was granted the ability to see chat flags. But since the algorithm for calculating Chat.SE reputation changes once a user has the network association bonus rights, it might work differently when a user does not.
When considering whether someone has the requisite 20 rep to chat, does the system on Chat.SE consider reputation on Stack Overflow and Meta Stack Exchange? Ideally I'd prefer it if someone tested this out.