However wealthy you are Mollygo, I doubt that you are in the same realm, wealth wise, as the royal family - and you are employed to do a job which, if you bring your employer into disrepute or you are felt to be no longer capable in your role, or surplus to requirements, you can be dismissed from.
Are you suggesting that every public service worker (most of whom will also be paying taxes and many of whom are providing essential services) should somehow feel beholden to other non-public service workers for their jobs and income? I think it should be borne in mind that people who do not work in public services do use those services, eg for the provision of health, education, justice, maintenance of infrastructure, etc, etc.
If the royal family threw in the towel tomorrow there would no doubt be weeping and wailing from traditionalists but, in reality, what material impact would it have on the lives of the majority of people? The oft cited claim that we would lose tourism is not borne out by various surveys. Tourists to the UK may well visit Buckingham Palace and watch the changing of the guard but their responses indicate that they would still visit if there was no royal family, because we have many other and more popular attractions to offer.