I don’t think the internet will be a massive problem. There are several underage/teenage/YA royals around right now and the palaces seem the have a good control over what goes out. If you look at the press treatment of the Yorks sisters, I am not sure Charlotte‘s experience can be much worse in regards to body scrutiny.
And while wheeling out the children is most definitely a guarantor for good PR, they or at least George needs to be eased in at one point. The Cambridges actually waited rather long. Erstelle held her first mini speech in public at 10 (or maybe earlier) and had been to a few real work engagements for some years with a family member. Not just those big celebratory ones that we have seen the Cambridgelings at. CP Leonore has been greeting officials multilingual at 13/14. Ingrid Alexandra in Norway has been accompanying her grandfather to engagements for some time as well. Not sure about Elisabeth. It seems the female Queens in waiting get quite the exposure but are presented in the most favourable light. Charming, educated, professional. It’s the boys that are falling behind at the moment. (Christian and George.)
The BRF should put a lot more effort into the Cambridges (tertiary) education. Two languages fluid at least. Probably French or Spanish. Not just some cushy art degree at home. At least a semester in another country, if not a whole master. And most definitely some courses in either international politics or socio economics or similar.
I do agree though that Louis and whatever wife he has (if he does) will draw the short stick. He is absolutely written up as the Harry/Andrew of his generation. And his wife will be on the loosing side against George’s. Maybe not so much if Louis married first.
The number of working royals will go down naturally in the next ten years and then again when Anne and the Wessexes retire- which might be earlier than the current geriatric set. As for titles, I think only the main line should get P/P- so non of this for Charlotte or Louis children. The royal Dukedoms and Earldoms are another matter. They hold no real significance or power. I think it’s fine if working royals have one or even more down the line, but there should be a mechanism that each passing on into the next generation should warrant a confirmation of the current monarch. So at one point it just gets taken back in. Those titles are really not the problem people make it out to be. What many actually mean is not the monarchy but the aristocracy. Abolishing the monarchy will not change the Etonian/Oxbridge connections or get rid of the House of Lords. The BRF and the aristos will be just fine if the UK is not starting the long, intense and expensive process to re-write its whole constitutional set up. And I don’t see the government having time for this, no matter what the public says in this weeks yougov poll. And make no mistakes- those circles will still be tight, well connected, rich and powerful. I don’t even think W would lay awake at night about loosing the crown or some ex-colonies. They might loose some but I am pretty sure they will keep much more than we can imagine.