VINs identify actual cars, and tie them to their owner. The equivalent is if your printer gets stolen you can say it's yours when you find it. Lot numbers are for consumer safety, so the manufacturer can trace a bad product.
The one thing none of those others have in common is that they have nothing to do with freedom of anonymous speech.
I just don't see what the big deal is.
Because there are zero privacy protections in place.
As I see it there are only a few options here:
1. Move to a completely paperless society in which case our activity will be even more easily tracked via our money.
2. Outlaw the technology which I used for many years to make a pretty good living and return to the predigital world.
3. Allow ourselves to be very vulnerable to counterfeiting, which is not very damaging when done in small quantities...but could really sink our economy in the hands of our enemies. (Think Germany WWII)
4. Subject this information to the same safeguards required for other forms of tracking technology via privacy protection laws and search warrants, etc.
Oh...and a strict guidelines/penalties to make sure that this information is NOT available to other governments without our permission.