Re: I doubt she'll ever be Home Secretary, but...
That speech is here. Watch it, and then come back. https://t.co/qNMvtilMa1
So, we know that if gifted with a really good speechwriter that somebody trained in public speaking can look very competent when reading off of a script? Great, let's make the press secretary PM on that basis.
Oh, wait. Different set of skills required.
Her demonstrated ability to think for and articulate for herself has been amply demonstrated, and she stands as a lasting monument to the Peter Principle. She's simply been promoted a level beyond her level of competence and reached her point of incompetence.
If she drops down a level then she could regain and no doubt retain a reputation for being competent, useful and respected. As it is, the general public are observing somebody operating far beyond their point of competence and she will remain an object of mockery and derision until she returns to a job she is competent at. Frankly, I think keeping her in the position she is in is outright cruel.