A "cocktail bar" should offer great tasting, well-balanced cocktails made using quality ingredients and fresh juices but as the style of bars vary enormously...
Yes I think a lot of people would assume that a glass of wine that they poured at home would be a Standard drink, when it’s likely more 1.5-1.75 standard drinks. Noting that the definition varies slightly - I believe the Australian one is slightly more generous than UK (!).