I think we have to concentrate on the perceptions of those who were around in 1916, who did not have the benefit of hindsight, nor necessarily knowledge of the wider picture.
Ella could see that Alexandra's association with Rasputin was bad for the monarchy, not necessarily because of realities but rather because of public perception. Therefore she advised her sister to get rid of him. When Rasputin was killed she wasn't particularly sorry.
I don't call that unhinged.
I have been thinking about Nicholas and Alexandra's attitude to Alexei. I have said before on other threads that a successful ruler needs to be able to subordinate family feeling to the interests of his monarchy. For example, in a Russian context, Alexander II, having lost his heir, promptly arranged for the new heir to marry his brother's fiancee. It worked all right. Leaving aside their personal feelings, there was no pressing need for Nicholas to father a son. He had a healthy brother (Mikhail), and plenty of uncles and male line cousins. Unlike, for example, his brother in law Ernst Ludwig, who was an only surviving son, neither of his uncles had issue, and, indeed, his dynasty died with his younger son. In my view, had Nicholas and Alexandra taken a realistic view, then after the birth of a third successive daughter, and the death of Georgy Alexandrovich, they would have accepted that a Plan B was needed, and started to train up Mikhail (then 21), as a possible successor and, in any event, support to the throne. When Alexei was finally born and proved to be haemophiliac, it was more than ever necessary that Mikhail be trained for possible succession. But, instead, Nicholas and Alexandra staked everything on Alexei, and their determination to preserve the autocracy was to a considerable extent based on an obsession with safeguarding 'Baby's' inheritance. To me (and I must declare that I am not a parent) this seems pretty unhinged.