The Scimitar is Autonomous, and cannot be affected by traits, abilities or conditions of the creature it is attached to.
It can be affected by “other sources and objects”, which might be thought to cover the Corrosive Concoction. However, the CC clearly states that it can be applied to a creature damaged by the mage. The Scimitar is autonomous from the mage (essentially in practice functioning like a mobile version of the various attack conjurations).
So my reading is no.