Brendan,
"EITS" is an acronym for "Eye In The Sky", which itself stands for the casino's surveillance department. Surveillance often has the task of evaluating a player's BJ skill, often with the aid of a computer program. This evaluation can be done either in real time, or by taping the play and doing the evaluation later.
Now if you can play very quickly, you'll often be playing so fast that the surveillance operator cannot enter the data fast enough to keep up with you... that's what I meant by stating "and it [playing quickly] also makes the EITS's real-time evaluation of your skill more difficult".
Dog Hand