Well, yes; she probably had to do a bit of that, though not all.
What do you suppose an Ambassador does, for example? It’s a role that is similarly situated somewhere between an executive and a ceremonial role — it’s both. You live “over the shop”, being available as a host as well as being an employer. A lot of what most people regard as “free” time are instead actually spent on the job or performing ceremonial duties. But you also spend a lot of time reading paperwork and minutes, being briefed on things you need to know about. When you host an event you must behave impeccably, including knowing everyone who’s coming, memorising a brief biography of them each beforehand, and being able to talk to each of them about their work. People report to you, but they also work for you, and so you manage them too.
The Queen usually was on trips to public events, often overnight or for two nights, every ten days as well as everything else.
Plus reading all the parliamentary papers each day. Can’t skip them because you do need to sign them. And even though our head of state is not formally an executive role like the POTUS, it’s not purely ceremonial either. It’s somewhere in the middle — deliberately so.
Charles — who I don’t especially like, to be honest — reportedly works for large parts of the day, skipping lunch, and including four hours of paperwork and correspondence each night.
Plus the monarch is also the head of the CofE, and has a not merely ceremonial role there. Fancy going to church at least a couple of times each week, all your life, and never skipping it unless you’re pretty gravely ill? I don’t.
As I say, I’m not a monarchist. I don’t like the cushion of inherited wealth, nor the class system; and the monarchy has a fair number of monstrously thick hangers-on siphoning up money and privilege.
But I also recognise that it is a pretty gruelling job which never goes away. I wouldn’t like to do it. I think it’s probably a racing certainty that Elizabeth was an old-fashioned workaholic, and the service and duty thing was part of that.
But she certainly didn’t have nothing to do but swan about all day; and if we got rid of the monarchy and replaced it with a different kind of Head of State model, there would be a lot of work that needed doing for the role, and it would also be extremely expensive (take a look at the expenses of the French presidency, for example).