Definitely not.
When it says "running at x4" it means only 4 of the PCI-e lanes of the 16 are wired up, and the rest are blank. You can check yourself by looking into the PCI-e lane while under some light and notice only a section of the lane has metal "fingers".
x4 slots are for cards that only need 4 PCI-e lanes, some RAID cards I believe have this.