Well the word signifies "sensibility" in the Teutonic. Didn't Schumann write a song or piece with that name? I have recorded yours, since it is quite sensitively beautiful.
We may well though ask whether it is not for its composer rather than its auditors to "say" more about it? Compare a) the number of comments made by so many other people upon Brahms's fourth symphony with b) the remarks Brahms himself made or did not on the subject. Yet to which would one turn or go? And why?
Some translate the word as 'sensitivity' rather than 'sensibility'. E.g Pertaining to the 'senses'. That is the translation that I am referring to. Yes, Schumann wrote "Empfindsam" ("Sensitive" or "Sensible"). A collection of piano works. I much admire Schumann but there is no other connection but the name.
On a forum, it is best when the listeners get a good chance to voice their views about the music. To be honest, I listen to both. Of course, Brahms' view is incredibly important to my overview of the work but other people's view also provide a fascinating insight; also, composers can be tricky - they say what is in their best interest for you to hear. Sometimes, they are biased in one direction or another. Believe it or not, they might not want to tell you the entire truth!
