While it is true that some royal families do receive what is called apanages, with the British Royal Family, they do not get "paid" for doing what they do. There is the Sovereign Grant which provides for various things and with that, HM, The Queen covers expenses
by royals doing engagements. Private income is provide for The Queen from the Duchy of Lancaster and the Duchy of Cornwall provides the private income for The Prince of Wales and his wife and sons and their families. For more information on where the money for the BRF comes from, how its spent and just how much they receive, there is an excellent thread that deals with all of this.
Royal Wealth and Finances
We are getting off track here from the topic of an ideal royal family. I do think there is more substance to these families than just the public lives and the engagements they do. To only look at their "public game faces" is a very shallow and unclear picture and can be compared to measuring the worth of anyone by the size of their paycheck. These are actual, real, live people and not just fishies swimming around in a glass fishbowl.