I don't like glue. It's messy, it takes time to dry, and it's not reusable. This pencil sharpener is still a neat party trick, but the glue downgrades it from something I'd actually want to buy.
On the other hand, maybe friendly (non-glue) version would be with the contra-screw or clicking mechanism at the end. But it would be very hard to maintain lock while you cut the pencil/s pass the joint.
[1] https://en.wikipedia.org/wiki/Wood_glue "It is chemically similar to edible gelatin and is non-toxic if ingested."
But on the other hand you have different types: https://impressionsofaholobiont.com/2018/09/03/non-toxic-wat...
To play the devil's advocate, their wood glue doesn't smell and is pretty easy to use. It's less messy to me than regular scotch paper glue for instance.
Some bits are really not ever meant to come apart ever again.
Most parts using wood bits nowadays are either enclosed and there is no tension that would make the bits get out, or the bits are seconded by metal pieces that actually maintain it all together.
Just make the hole a bit smaller so the tip fits snugly inside. Maybe it wouldn't work on cheaper pencils due to cracking?
The beauty of the current design is that its simple to make, simple to repair and guaranteed to work even when you're shaving past the joint. It's one of those situations where a "worse" solution actually covers all the edge cases better.
Drying up in the bottle is an issue too :(