That will ensure your bridge pickup shielding is grounded. What it won't do is shield the pickup wires from any EM/RF interference.
If you are in that far already, you might as well make sure that hole is shielded too. Honestly, chances are slim that leaving it unshielded will cause any problems. However, if you don't shield it, and then you do experience some unwanted noise/hum, then you have to check it as part of your troubleshooting. And that's just a PITA to have to go back later and do it.
There are a couple ways you can do it. First you're going to have to unsolder and remove the ground wire. Then...
Find a pencil or a straw or a dowel, something that can fit snugly but easily in the hole. Wrap some copper tape around the pencil/straw/dowel with the adhesive facing outward. Slide it into the hole, and remove the pencil/straw/dowel leaving the tape in place. Or...
Get a small piece of 1/4" copper tubing from a plumbing or hardware store. Measure the hole, cut the tube to length, and slide it in.
When you have accomplished either of those, the solder the tape/tube to the copper shielding on both sides of the wire channel. At that point, the pickup shielding will be grounded to the control shielding, so you don't have to resolder the ground wire you unsoldered. But I would do it anyway, just for redundancy. It's a small investment of time for shield insurance.