Take a second to think about what you're saying. The deck is shuffled randomly, both at the casino and at bitZino. So the cards that come out on the first hand at the casino table are random cards.
Suppose you arrive at the table just after the first hand was dealt. 12 cards were used, and hundreds still remain. The remaining cards are in a random order, just like the first 12 cards were. Do you have any more or less chance of winning?
If you know that the first 12 cards were mostly high cards then you could say you have a lower chance of winning the 2nd hand, but that's just like saying if you knew the bottom 12 cards on the deck were mostly high then you'd have a lower chance of winning the first hand.
As you see more and more cards from the deck, you gain more and more information about the composition of the remaining cards. But there's nothing about the top few cards of a freshly shuffled deck that make them 'unluckier' than the rest of the cards. The dealer lets you cut the deck anywhere you like before he starts dealing anyway, so maybe it's your fault for cutting in the wrong place?
I don't know if you're going to buy that explanation. I've been having a hard time recently trying to understand what other people are thinking.
The bottom line has it about right though: "don't gamble" (although I'd add "unless you see it as buying entertain