First, I must be clear on this: deTerminator doesn't make picks.
It creates screens - rows and columns of data.

Let's modify the question to ask:
Will everyone get the same screens from the AI?
The answer is YES.

Just like when you and the guy next to you look in the DRF, you see the same Beyer Numbers for each horse.

HOWEVER...
There is a function where the player can create his own unique "ID" that will cause a bit of randomness. Not all the time - but some of of the screens will change. I honestly do not know HOW OFTEN or HOW MUCH.

WHICH LEADS TO...
... A logical question.
"If I choose a UNIQUE ID, will the results be better or worse?"

Since the AI's goal is to always produce the best and you are choosing SOMETHING DIFFERENT, your results SHOULD BE somewhat weaker long term.