Personally, I find willow very attractive and it's probably our biggest native wood. Lots of people don't like it because it's shaggy/furry when turned, and doesn't cut cleanly.
Your log would make some nice small bowls, whichever orientation you turn them. But not so good for baseball bats. See if your neighbor would save you some larger pieces next time, with a bark-on diameter about the same as the throw on your lathe. (BTW, the end of this log is showing you the cut line for ripping into half logs.)
In my experience, some willow wood cuts much better than others, and my current theory is that it depends on where it grew. If it grew in or along an active watercourse then it is probably fuzzy. If it grew somewhere without a live ditch or stream, and not heavily irrigated by the landowner, then it's not fuzzy. Willow 'seeds' new trees by branches breaking off and floating down a moving watercourse and getting stuck in soft, moist soil, so basically all natural willow started out on the path to becoming fuzzy, except landscaping specimens. Many old irrigation ditches or streams dry up, however, so maybe that's when they change to the un-fuzzy path. It's also possible that the fuzziness is related to the particular species of willow, but there are a bazillion species and it's really hard to tell them apart, so no good way to investigate that theory. Or maybe willow cut when the tree is fully dormant is less fuzzy. So many theories, so little time.
Thanks for the tip on gliding on the bevel, Al. I'll pay attention to that when next I get a piece of willow and see how I do. Probably I would not be the winner in your class, but I will definitely appreciate the skill building value of the wood's feedback.