Two completely unrelated points:
I don't think she wants to be admired as much as she wants to be envied. The kind of person who has friends who say she changes the very molecules in the air around her by her presence (Abigail Spencer, only a tiny bit paraphrased - I'm assuming she wasn't high or drunk when she said this!), is the kind of person whose friendships are cliquey, conspiratorial, transactional, clubby, fabulous, extra, competitive, highly hypocritical and disposable when no longer able to support the mirage. Anyone who's attended a cliquey girls' private school recognises the type at 20 paces. That kind of girl was one who (ime) needed to be envied to feel like she mattered/existed. And that was because (ime) her home life was a sorry, hollow life of absent parents or arguing parents or self-absorbed parents or unhapppily divorced parents. Sound familiar? Obviously these girls grow into women, who mature and soften and acquire wisdom and experience, but some of the arrested development you see with Meghan totally chimes with an MO that is rooted in this sort of dynamic and which doesn't move on.
Secondly, keeping their children private has been the one thing that I've admired this couple for, and a bar below which I hope they won't descend, especially after all the griping Harry has indulged in. If they take them to Invictus, it's show over. Nobody, literally nobody in the world they've chosen to inhabit and make a living in, does that - the publicity is just too damaging for small children (as Harry knows and as William and Catherine have managed seemingly well thus far).