Alexandra was actually quite bitchy in the movie. And it did show her to be aloof and indifferent to those around her who were not part of NAOTMAA.
Remember how Nicholas dropped to his knees in front of her and sobbed after he abdicated? I know that she was portrayed as crying as well, but it made Nicholas look like a wimp expecting his harridan of a wife to scold him like he was an errant child.
And back to Tatiana, this thread has been going on for a long time and I know that I have said this before, but here goes again. ;-)
When making a movie where time is short and the story is long and complicated, many things have to be done for cinematic effect and to let those in the audience who have not yet (and maybe never will) read the book know something of the back story.
The issue of Tatiana "showing" herself to the guard was a cinematic effect to let the audience know that OTMA were a sheltered group and that (since we all knew by then that they were going to their deaths) they had never had a normal life and now never would have one.
We here on the AP might take exception to using a scene like that to "explain" something that couldn't be explained in words in a two hour film, but it probably got people in the audience thinking and, who knows, it may have gotten some to actually go get the book and read it!
I saw the film twice in theaters at the time. Once I went with a good friend of mine who knew nothing about the Romanovs. She spent the whole movie asking me to explain what was happening. Her biggest point of confusion was why the photos of Kaiser Wilhelm and King George and Nicholas II came up in still shots after the still shot of Franz Ferdinand being assassinated. I explained that was the cinematic way of letting the audience know who the protagonists of the war were. (In fact she asked me not just why the photos were there, but who the photos were of.
Film makers have to manage a lot of information and condense it all into a small time slot and still get almost everyone in the theater to "get the picture".
I don't believe that they were insulting Tatiana or anyone else for that matter. They were just trying their best to show as much as they could and get the back story in as well.