Yes Ive read the Levine books cover to cover some time back. I would agree, they are great books.
I haven't read the rober rawlins book but I will take a peek. From the quick look on google books preview, it looks like its at least consistent with the way I learnt this stuff.
I think having a strong understanding of the theory behind the music, is a really good thing regardless of the genre.
Hey I've been arranging and playing jazz all my life. Mark Levin's 'the jazz piano book' is the authority in this area. Or alternatively his 'The Jazz Theory Book' Which is very similar but without the specific emphasis on piano and a little more on arranging. A little more accessible but less complete is Robert Rawlins "Jazzoology" also on arranging and jazz harmony. If you have any specific questions about jazz chords and voicings, I would be happy to answer them.