It doesn't compromise the users privacy in any meaningful way. Back in version 12.04 there was a scandal wherein searches on the desktop could return remote results from Amazon. Canonical countered that all data was going through them and no personal info was leaked but nobody actually wanted to see ads in their desktop search or share data about their files with Canonical thus this was changed in 14.04 or 14.10 if I recall correctly.
Essentially this hasn't been an issue in about 4 years.
> It doesn't compromise the users privacy in any meaningful way.
I would have to disagree. The mere fact that it's there and visible by default means it can be accidentally clicked on. Doing that opens a native application which loads an Amazon-provided javascript file. Cards are off the table after that loads.
Essentially this hasn't been an issue in about 4 years.