It's a lot wider actually, 2.125" at the nut... I'm happy with the width, but it seems that there are some measurement issues... the intonation is pretty bad, even after two local setups, rendering the bass unusable for recording, and the dots on the fretboard are off-center (inconsistently so). Also, the thumbrest is not tall enough to be useful - your thumb slips right off of it because it's so low, but it's covering up some routing (Line6's design, not HJC's), so I can't just take it off. I don't really use a thumbrest (I use floating-thumb technique), but the Line6 original plastic thumbrest was quite a bit taller. It is pretty, though - it matches the chechen rosewood fingerboard.
I originally wanted a new neck because the stock Line6 neck was a little chunkier than I like, and I had planned to just order one from Carvin. Carvin's build time was quoted at 2-3 weeks. I was leaving for Boston over the summer and I wanted to take the finished bass with me, and the builder told me he could build a neck from scratch faster than that, so I canceled the Carvin neck order and had him build one for me instead. It ended up taking 3 months (I ending up just buying a used Korean-made MTD from eBay to take with me to Boston instead), and when the rebuilt Variax arrived, I actually had to send back the neck because the profile wasn't what I wanted; the new neck was even thicker than the stock neck. The entire order took close to 5 months (4~ longer than quoted), cost $736 (for installing the pickup & building a new neck), and I still don't have an instrument I can use out or sell out of it.
I also wish I'd gone with slightly bigger frets and a slightly more rounded radius (I wanted it flat), but those are both things that are entirely my fault, haha.
Anyway, not trying to air dirty laundry here, but that was my experience with a Variax mod. There is a local guy who builds 5-10 basses a year that might be interested in trying to make a new neck for this one, but I still have to call him about figuring it out. He's actually a TBer too, but I understand that he hasn't used his account in several years (his name is Bill Rowe).