The V-mod sections are backwards. For some unknowable reason (or lack thereof), on the V-mod pickup Fender put the Alnico II section under the E-A strings, producing mush; and the Alnico V section under the D-G strings, producing harshness. To get a true picture of how a V-mod pickup can sound its best, a player should swap the sections of the V-mod to get the Alnico II section under the D-G strings for better tone and the Alnico V section under the E-A strings for better definition.
The reason the mids are "tamed" is because the pickup is underwound. The more windings on a pickup, the more inductance, which lowers the resonant peak, which our ears perceive as more mids. The less winds, the less inductance, which our ears perceive as clarity.
In another thread, another forumite did the switch and raved about the improvement.