Of course not, and it's a bit disingenuous to suggest that's what the parent believes.
It's pretty far fetched to suggest that an employer has a legitimate business purpose in collecting cookies for their employees' personal accounts that they happen to access on their work computer.
However, I think it's pretty easy to make the case that there's a legit business purpose in monitoring employee email (that is, email sent or received through an employer-issued email address), or at least in having access to it.