Firstly I want to applaude the Palace for their statement. Short, meaningful and (brutally) to the point. They could not do anything better when faced with this situation. Private family matters should be resolved in private.
Charles only has two sons. That said both son's children should be princes or princesses. If the Queen did it, for one of Charles's sons she should have done it for the other. I don't care about tradition or rules etc. This is the first biracial child in the family and that is another reason Archie should have HRH and be a prince. It looks as if the Queen favors one grandson's children over the other. And then to be told your baby would not have security. Does any realize how all looks? I see H&M's point.
William (and his family) being more important than Harry (and his family) is the basic rule of the monarchy. There is the heir (heir to the heir in this case) and then the rest of them. It doesn't mean Harry is not important or not loved, but of course William will be favoured over Harry, no matter what idea their parents had for them. Remember the stories of Queen Mother inviting William for a tea and not Harry?
Only one of them is the future King of England. By general rule William is more important to the monarchy. Archie's comparison is not George, Charlotte and Louis, it's the rest of the great-grandchildren: Isla, Savannah, Mia, Lena, August. None of them has a royal title. None of them has the official, royal protection.
No matter how brutal, outdated and whatever else we think of this, it's how things are done. It's monarchy. They can't pick and choose people, you're either born the heir or not.
Meghan said that she went to one of the "most senior palace officials'" and asked if she could go somewhere to get help and was denied because it was not a good look. Meghan also said that she went to the HR department and said plainly "I need help" and was denied. Such a response for all intents and purposes needs to be investigated- if what Meghan says turns out to be true then there needs to be alot of work done on revamping policies and procedures
for when a member of the royal family needs and is seeking help.
And quite a sensible question to ask ourselves is... where did she want to go? To some mental health establishment in the UK? Or one of those popular "spa" institutions for the rich and famous in the USA? Would she agree to see a local therapist in her own house, or was that not what she wanted?
We also know that Harry did not say anything about that to any of his family because he was ashamed. He said that himself. So literally no one from BRF, excluding Harry and Meghan, knew about how bad it was.
And the response from HR department was absolutely correct. Even though they were working royals, HR department is for solving matters concerning employees of royal offices, not the actual royals. So no, it does not surprise me that she didn't achieve anything there.