TV mount to Wall Studs

While installing a wall mount for a 48" TV, I realized I made a mistake. I drilled a ⅜ pilot hole in the wall stud and then installed the anchors provided with the mount that the lag bolts would be secured in. Going back to the instructions I realized my mistake, having used the directions for the "Concrete wall installation" instead of the "Wood stud wall installation."

The Concrete wall installation instructions say not to use these for a wood stud installation, but rather to use a 7/32 pilot with the provided lag bolt.

As far as I can tell, the only difference between the concrete and wood stud installation is that the concrete uses the provided anchors, and both use the same 4 lag bolts.

So do I need to fill these holes with wood filler or something and start over, or will the concrete anchors make a difference at all?