I can't speak specifically about the Lenovo b570e. But I do see it listed as being certified for Ubuntu 12.04, and community members have listed it as working with 12.04. Presumably it'll work just as well, if not better with 12.10.
All Ubuntu releases should be fit for use. Normal releases are supported for 18 months. LTS releases for 5 years.
New hardware support gets backported to LTS releases, in point releases. The first point release after Ubuntu 12.10 (12.04.2) should support everything that 12.10 did. But that's only coming out at the end of January. So until then, 12.10 will support hardware that 12.04 doesn't.