I must admit that even having a classical music library (that's more extensive than my university's school of music's) the only British composers of the period I can find in it are Charles V. Stanford and Hubert Parry (although they're probably more Edwardian). Henry Litolff was born in London but he's pretty much mostly forgotten (I have his concertos symphoniques though, and while NOT Mendelssohn or Schumann, they're pleasing in their own way), and in any case, lived abroad from the age of 17, so I think he's not regarded as any more British than George(s) Onslow (who was similarly born to one parent who was French and one British). So, I'll keep looking, but I know the Master of Musick made a foul up at Victoria's coronation, she liked Bellini and Donizetti, Albert liked Mendelssohn and Schumann, and neither seem to have bothered with native composers.
So we probably can agree that import of the British Victorian composers into a country of Tchaikovsky and quite a few others less known abroad would not necessarily provide a noticeable progress in that area.
Neither would it work too well in the area of a literature (both poetry and prose) and anyway, everything worth reading was translated to Russian (BTW, am I right that at least at that time the Brits did not practice poetic translation of a poetry? Just curious).
EDIT: Oh and don't forget Victoria's chronic shyness (much like Alexandra) would make her come across as distant (perhaps even isolated). Her desire for "gemütlichkeit"(?)/cozyness from OTL exemplified in Balmoral and Osborne would translate rather poorly to the Russian court.
It was rather typical for Alexander III who, as far as etiquette permitted, was isolating his family in Gatchina (as I understand, mostly out of fear of terrorism). Livadia, a summer palace in the Crimea also had been quite isolated but other than that an emperor
had to be present at the numerous public functions (specific church services, military parades, official receptions, etc.).
Alicky was seen as a snob who isolated herself and her family from the court, Victoria might be seen in a similar light.
According to Grand Duchess Maria Pavlovna (who, to be fair, had a lot of reasons not to like Alexandra), she simply could not communicate with the people and tried to minimize contacts even when this was of a critical importance. Basically, she was a mother of a family who, unfortunately, had been interfering into the state affairs.
@alexmilman: do you have a good impression of ANY of the Russian empresses? I've seen you refer to Maria Feodorovna (Sophie of Württemberg) by a similar terminology you used for Alicky.
Well, at least Maria Fedorovna was good to her husband and, while he was alive, did not interfere into the statehood. Trying to minimize Alexander's drinking was a good thing to do even if she was not quite successful. Then, she was (AFAIK) liked by the people. Probably had much better communicating skills than Alicky. After Alexander's death she was, AFAIK, trying to exercise some good influence on Nicky but it was like trying to nail jelly to the wall.
Wives of Paul I, Alexander I, Nicholas I and Alexander II (the 1st wife) were mostly remarkable by being obscure. They were doing what was expected from them: performed the court duties and (except for the wife of Alexander I) gave birth to the royal children.
And, as far as the empresses in general are involved, Catherine II was without any doubt an outstanding ruler. A lot can be said about what she did wrong or did not do (we are all good with a criticizing

) but, as far as the rulers are going, she was a great one.