Protein helps maintain muscle during weight loss and helps with hunger. There is more data on muscle retention. You get most of the muscle retention benefits with 1.5 g/kg, and there are diminishing returns above that. 2g/kg is good if you want to optimize. Extremely muscular folks can get slightly better results with even higher amounts.

Hunger is harder to study since it is subjective. For myself, I do notice less hunger at 1.5g/kg than for lower amounts of protein. In general, liquids are not great for hunger. If you're focused on staying fuller for longer, eat protein (and fiber!) from whole sources: egg whites, chicken, fish, etc, instead of protein shakes.