From letters I have read from Tatiana in 1917 and 1918, she complains about how hot and annoying it was to wear a wig so I suppose she didn't mind her hair short!
From 27 February 1918: "Our hair has grown, it is as long as in that picture after I had typhus, with the ribbon in it, do you remember? It grows much quicker now because I think first we had our heads shaved twice and secondly we did not wear wigs so it was much more comfortable. The first time I was ashamed of myself as I was all alone, but now we are all four in the same state!"