Jazz Bass Neck Swap Question

I have two Jazz Basses....a 1986 MIJ and a 1977 Jazz.
A few year back I had a complete fret and "neck" job on my 77, it cost a small fortune but the the neck is perfect, problem is that at close to 13/14 lbs its simply to heavy to play out. My MIJ on the other hand is super light weight but has a small hump on the treble side of the neck around fret 12-17 and the neck is not quite as nice. Ive thought about simply swapping the necks.....any draw backs or other considerations? I would of course keep all the original parts and have it done professionally.

 

Yes. The neck pocket had a gap and with the 3-bolt was prone to shifting, so it was modded with a 4-bolt years ago.

 

Bump

 

Thanks...I was wondering if it was simple enough to try myself? Is it as simple as removing the strings, undoing the bolts, switching the necks and re-tightening the bolts?