Does picking up a weapon give any stored/leftover criticals?

With the Gunmettle update it is now possible to pick up weapons from fallen foes (provided you are playing the same class as them).

There are also some weapons that stockpile crits through certain actions. The Frontier Justice for example, will give guaranteed critical hits based on the amount of Sentry Kills when the Sentry is taken down.

Assuming I'm playing the same class and pick up a weapon that still had crits left at the time of it's owner's demise, will those crits still 'exist' on the weapon?