I'm a female bass player and I've had both of these basses, and I wouldn't really recommend either one. If you can afford it, go for a MIA Standard or Special jazz. The reasons why I'll list below. Keep in mind that these are my experiences. I've had 5 Geddy's and one DJ.
1. Neck - LaBassGuy is right. The necks on the Geddy's have changed. The more recent models are more substantial, and much more stable. The DJ neck was much more rounded and felt fatter to me. Didn't really care for it.
2. Body - I was initially attracted to the DJ due to the smaller body since a full size jazz body is not that comfortable for me. I did like that part of it, but for some reason the body wasn't very resonant. The GL body is full size, and depending on how you're shaped, you may or may not like the large body.
3. Electronics - The DJ sounded really, really dull compared to the GL jazz. Main reason I sold it. The pickups on the GL jazz have also been upgraded on the newer MIJ models, and a huge step up sound wise from the old ones. Not sure of the MIM models since I've not had one of those.
Ohio Bassist #6 | Sadowsky - #181 | Gallien-Krueger #369 | Avatar #61 | DR Strings #9 | Classic-Vibe #1 | Blue Bass #57