Polina Nikolaevna in Chekhov's "Three Years" modeled on Pauline Viardot?

In the story "Three Years," one of the characters sings a line from a song, "My friend, my tender friend." He sings it in reference to the character Polina Nikolaevna, who is a pianist. Of course I had to find out what the song was. To my surprise and delight it is the final line in "Nochju" by Pauline Viardot (set to a Puskin poem). You can find the transliterated text and an English translation here.

It suddenly dawned on me that the character of Polina Nikolaevna, an independent, hard working, brilliant, and decisive woman, who was anything but beautiful, who made her living by teaching piano lessons, might have been inspired by the very famous opera singer (and composer) who was connected by a long-term friendship and perhaps romance with Ivan Turgenev, a compatriot of Chekhov (and a writer who Chekhov certainly read, but may not have admired).

I haven't finished the story yet (Michael and I are reading it together as part of the Four Seasons Reading Club).