I agree with much that has been said here. First and foremost, through no fault of her own, Beatrice has been brought up with a royal title, yet plays no constitutional royal within the royal family, nor does she play a central role within in it.
The general consensus is that in the future, the core members of the royal family (by which I mean those that will have high profile public and charitable roles) do not include Beatrice or Eugenie. The Wessex's (and the Princess Royal) have managed this scenario in the way their children have been titled (or not titled) and their lives have and will be on a similar footing as the Princess Margaret's children.
But whatever the expectation of the Royal Family was all those years ago when Beatrice was born has, I think, changed and it seems Beatrice and her sister are now in a bit of limbo.
I have no objection to their titles, nor their lifestyles, and it would seem unfair for Beatrice to ask for her HRH to be dropped and I would necessarily expect her to voluntarily give it up. This leads me to wonder, though what she might do if and when she gets married. It wouldn't be beyond the realms of possibility that at that point she intends to drop her title altogether.
Sorry if I've covered old ground or repeated what other have said!