I love Scott Joplin. The great thing about Joplin's rags is that they can be interpreted in so many ways; swing, march, saloon-ey, romantically...and the best thing about his rags is that there's always one lick in each rag that really gets ya (to me, anway...Reflection Rag has one of the best end sections).
That having been said, I really like this interpretation...it seems like you like to swing this one, and Weeping Willow definately has a swing sound to it, and I believe it's the C section (with the little "scalers" in octaves in the left hand) that you have really nice dynamic contrasts with the "calls" and "answers". The only thing that I think could be a little more consistent is the tempo...you seem to speed up throughout the piece. But your phrasing is beautiful, and very well played.
By the way...have any of you guys heard Joplin playing his own rags? There are CDs out there of his old piano roll transcriptions...although all his rags have "slow" and "not fast" tempo markings, Joplin loved to play 'em fast and definately loved to swing them, almost similar to how Art Tatum would have done it...
Which brings me to another point. When listening to Joplin play his rags, you can hear his improvisations, added grace notes, embellishments, etc. It's really cool if you can get a chance to listen to his playing; it'll give you an idea on cool spots to improvise and types of things to improvise with.
So, there inlies the question on what to do with his rags...he says 'not too fast' or 'slow march tempo', but he swung, and played them quickly himself. I think that shows that Joplin rags can be played in whatever mood you want to play them. Unlike a Chopin nocturne where the interpretation is the feeling you put into it, or a Mozart sonata where it's supposed to sound a certain way, each of Joplin's rags, to me, can have so many different ways of playing them, and each time, they'll sound like a different piece of music.
That's my take on Joplin...Joplin and Chopin are 2 of my favorites. I'm really happy that you've posted this rag, and especially because it's a more unknown rag, and you play it beautifully. Keep up the good work