Guitarbooks v.s saxbooks?

I've been playing sax for one month now. And I've played guitar for 11 years. I'm fairly new to the jazz idiom alltogether. but I have purchased a couple of books on the subject aimed at the guitarist. So far I've been using the guitar books for the sax aswell (doesn't matter that the keys are wrong when I play by myself and I don't use the recordings when I play sax.)

The books I've used are Complete jazz guitar method (mel bay) and jazz improvisation for guitar a melodic approach (garrison fewell).

Since I've seen a couple of sax/guitarists like myself here on the forum I was wondering if I'm missing out by not bying "saxbooks" is there alot of info that I don't get? So far I've been using the books mostly for scales and general theory bla bla bla. But as I'm digging deeper and deeper I was thinking that there might be some aspects of sax playing I can't learn from guitar books. Or do I cover the gap by listening and transcribing saxophone players??

Would appreciate a sax teachers take on this