(sorry for the multiple posts, just sharing my findings)

Here's a representative part of the chat:

20:48 Teki: Fuck it
20:49 arnold: ty
20:49 tribals: !prof 30m
20:49 Tentris: greems soon
20:49 Jackpot: @tribals Hit JACKPOT 0.0001 BTC 💰 💰 Earn More BTC under your account in free section. 🥇🍀
20:49 hackforums: !c 100k bits
20:49 Teki: !bst 100
20:49 arnold: !n
20:49 tribals: mama
20:50 Tentris: 5x
20:50 hackforums: !c 1 btc
20:50 Kuruk: nyan
20:50 Teki: greedy
20:50 arnold: yes
20:50 tribals: Next low red
20:50 hackforums: boom
20:50 Tentris: @rainbot
20:50 Teki: lol
20:50 Kuruk: Cool
20:50 arnold: add me

What can be noticed here is that multiple accounts are giving commands to the bustabit bot (!bst, !n, etc) even though the bot obviously doesn't work on this site. Yet that doesn't stop accounts from continuing to give these commands, indeed in the small sample above the account "hackforums" can be seen doing it twice in short succession, completely undeterred by the fact that there is no bot. Upon further examination it quickly becomes clear that this is not a real chat but just a replay of the real bustabit chat. This strongly suggests that the site owner is himself running a script on bustabit that is recording the chat, or at least has done so in the past.

Looking into the other accounts on the site, several things can be determined. First, they're all scripts. Second, almost all of them - especially the bigger players - follow this pattern:

var amount = amounts_array[game_id % amounts_array.length]
var cashout = cashouts_array[game_id % cashouts_array.length]

In other words, they constantly cycle between a fixed set of {amount,cashout} values per game. The length of this cycle tends to be 15. The remaining players follow similar patterns or have partially determinable patterns. These accounts are hence most likely run by the site itself, given their chat output and their behaviour which only really makes sense as a simplistic attempt to appear human-like. Given the peculiarity of almost all of them using the specific pattern above, and the fact that the site owner must be running, or have run, a script on the real bustabit site to get the chat logs it might be possible to determine their account on bustabit by checking for a script running the same pattern.