The romantic era was filled with great composers and great music. Many people's favorite composers belong to this period. I did some research on some "Favorite composers" threads, and most answers included Romantic composers such as Chopin, Rachmaninoff, Liszt and Beethoven (which I really think belongs to the Romantic era).
Sure, there were answers like Mozart and Bach, and they were very common, but I felt other composers that belong to these periods such as Scarlatti and Vivaldi (Classic and Baroque, respectively) didn't get proper attention.
I think it's no secret to say that most people prefer the romantic composers. I can see why. The introduction of works with a lot of emotional feeling put into them, melodic pieces, and also because it's the era with the most composers.
But what is the question of this thread? Everytime my conservatory receives a new student who is eager to play Moonlight Sonata and Für Elise, the teachers make sure that this student studies some Bach and Mozart works before engaging into the Romantic era. How important do you think this is? Do you think a student with no Classic or Baroque background will suffer when he gets to a more advanced level?