Well I just checked the rules on Intercasino's website because I'm so tired of reading that you think they are cheating you.
There are 5 versions of blackjack at intercasino, Single player, Multi Player, Multi Hand, Multi Split, and Single Deck. They ALL have this same rule clearly stated for each version:
InterCasino Blackjack is played and programmed according to Atlantic City Blackjack rules.
Authority: New Jersey Casino Control Commission.
Rule Exceptions: The cards are shuffled after each hand, pairs may not be re-split, and players may not draw additional cards on split Aces.
So they aren't shuffling differently, and no matter how you or the dealer play your hand, it won't affect the next game. And according to Atlantic City BJ rules, there is no rule that the dealer has to check for a blackjack if they have a 10. The only mention is if he has an ace showing and insurance is offered.
There are many different BJ variants out there, and they don't all have the same rules. The one you've been playing is apparently using the no-peek rule, where the dealer doesn't check. This means you have -0.10% worse odds than you would with the peek (and assuming you play perfect strategy). It is not a bug, so stop complaining that they cheated you.
If you insist on playing online BJ, then check out Global Player casino for the biggest selection in one place. Maybe you'll find one there that you like.