i have a G&L parts bass. An SB-2 neck on an L2000 body. They are from 1986 and 1989, but I don’t remember which is which. I love everything about this bass but the weight,
With a new body it won't be the same bass, so it will no longer be the bass you love, so there seems to be no point, it will be like losing the bass you love and buying a lighter one.
I suggest playing sitting down, using a hip strap and/or double shoulder strap or using a bass stand. So, insead of reducing the weight, make the weight a non-problem.
Reducing body weight may result in neck dive, or perfect balance. Currently it is quite butt heavy.
It's very probably neck heavy, like every Fender P or J design and 99% of all basses.
If the bass balances on your leg either horizontally or angled neck-up, which seems extremely likely, then the centre of mass (COM) is horizontally closer to the horn button than the rear button, making it want to rotate the neck downwards when on a strap.
So reducing body weight will create a very neck-heavy bass, which is uncomfortable in other ways.
With the bass balanced on your leg, the COM is vertically above your leg and on the centreline of the instrument, so you can work out where it is.
Next, at playing angle on a strap, see how the COM is horizontally positioned relative to the strap buttons, if the COM is horizontally closer to the horn button (which it will be) the bass is neck-heavy.
(I'm a qualified physicist and have analysed the forces and torques of a bass on a strap, to understand what causes imbalance and how to create perfect balance.)
If someone wants a lightweight bass that balances, it will have to be a very unconventional design and probably headless. Bassists cannot keep their retro design basses and have light weight and perfect balance.