TN was much more complicated than the generic bossy/responsible stereotype she has grown into. She was also sweet and quite eager to please, as evidenced by all of her letters to Alix which always plead for Alix to not be angry with her, or whatever, if TN did something remotely 'bad'. TN seemed to be a little insecure like that, wanting to make sure she was ALWAYS in her mother's good graces and sort of reassuring herself that Alix loved her. Look at this letter from 1911:
My sweet, darling, own Mama dear,
I beg your pardon that I don't listen to you and that I contradict you, that I am disobedient. At once I never feel anything but afterwards I feel so sad and miserable that I made you tired of telling me always to do that and so on.
Please forgive me my own precious Mama darling. Really now I'll try and be as good and as kind as I can be, else I know how disagreeable it is to you when one of your daughters don't [sic] listen to you and behaves bad [sic].
I know it is very bad of me to be so horrid with you my dear Mama, but really, really my sweet one I will try and be as good as I can and never tire you and always listen to every word you will tell me.
Forgive me deary. Write to me please a word only that you forgive me and then I can go and sleep with a clear conscience. God bless you always and wherever you go - show this letter to nobody.
Kisses from your own loving, devoted, thankful and true daughter, Tatiana
That's the vibe I get. Sure, she was responsible, she was a bit demanding, she did seem a bit aloof but not in the way Olga was--but beyond that she definitely wanted people to think well of her, like we all do, and made sure that if there was any sort of faux pas done by her in any way, shape, or form that it was cleared up and everything was A-okay! And of course she was like all of them intensely religious but I think a lot of it was, as Gibbes said (paraphrasing here), about her trying to please and do what was 'right' rather than being of a spiritual bent herself; no doubt she was a devout Christian, but I believe Gibbes said something like religion was more a duty imposed upon her than something she felt strongly her heart which is, say, more like Olga. She copied Rasputin's words into a notebook--probably not for her own, uh, 'edification' as Alix would probably have called it! but to please her mother.