"There is an important difference between those that get rich through hard work, effort or just luck and the royal family who just get it by birthright."
Interesting. If anyone earns or wins money and passes it on to their children/grandchildren/successive generations - that is one thing. The money could have been acquired in a number of ways (e.g. through starting up a corner shop and then building a multinational retail enterprise, or through winning a premium bond and then building up an investment portfolio). And of course we may question whether any/sufficient income or inheritance tax has been paid on this.
With the royal family, though, aren't we talking about lands (and therefore taxes/rents/other dues on those lands) that were originally acquired through force or through royal proclamation? Of course those original land acquisitions were made centuries ago. But, even so, no tax AT ALL was paid on any of the income from those lands until, I think, the 1990s. So that's a lot of compound income that the royal family have been 'earning' for a very long time.
On top of which, although there is a Civil List to cover 'basic' royal expenditures, in exchange for income from certain Crown Estates (that income now goes to the state - although that has been the case only for about 250 years, I think), the royal family also retains income from certain lands (e.g. the duchy of Cornwall) which is their own private income.
This is why the royal family have so much private wealth. Which is vast. E.g. the queen alone is reckoned to be worth about £310 million (her private wealth - nothing to do with Buckingham Palace, etc.).
And this is why many people think that the royal family have got rich through their 'birthright' rather than through any 'effort' on their part.