Skip to the very end for the actual questions, the long paragraphs are the specifics of the scenario.
During a hand 2 players went all in on the turn, hands were tabled and the players showed A-K of diamonds and 9-10 of clubs. the board reads Q-J-8-5 with 2 diamonds, a player says only a diamond can save the player with A-K and the dealer corrects them saying a 10 would also save him.
This caused a dispute on the table from a player claiming that the dealer was in the wrong for doing so, the dealer should just be turning cards and passing pots, the dealer mentioned there was no more action and didn't think that letting a player know more information about the hand without influencing action when the hand action is over was against any rules.
This is a small club which has regular customers but no poker pros who play there regularly, the managers and dealers are on first name terms with most customers and the competitions regularly have first time players for the small buy in tournaments who need some help from the dealers to follow casino specific rules. The dealer in question is on first name terms with most of the table and the player who didn't understand his outs was a new player who did not know the dealer, the game is in general very friendly and some allowances are occasionally made by the cardroom supervisor for genuine mistakes by players or misunderstandings.
Is the dealer in the wrong for letting a player know their outs, should they be silent when the action has finished? Are they allowed to mention outs during a hand or just show the winning hand and pass the pot when its over? Thank you for your time, i cant find any specific rules on dealers.