You can order any G&L with any neck you want if it's from their American plant. They have quite a few neck options available. They build things like Fender did back in the day, where you order a bass with the neck of your choice. If you shop used you can find some L2000s with Jazz bass style necks on occasion. The ASATs are basically the same control scheme as the L-series but with a Jazz bass neck as standard and a different body style.
The fours have lots of neck options, but not the fives. The L-2500, L-1505, M-2500, and MJ-5 all have the same neck, but of course you can choose fretboard wood, fretless, binding, etc. The new JB-5 has a slightly different neck exclusive to that model.
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BTW, I'm digging the Dub King! I used to play a semi-hollow DiPinto, and I love that vibe.
