That would mostly only apply to a traditional Telecaster type bridge which is integrated with bridge pickup, then "technically" you would not need the wire from the bridge to the back of the pot. HOWEVER, I'd still run one. I am currently building my first Tele, but I have seen this done with an eyelet on a wire that goes between between one of the three mounting screws and a spring, so that it grounds the pickup's baseplate and the bridge simultaneously.

The reason for the wire is mostly an abundance of caution, but I like to connect the shield to the ground, rather than relying on the shielding to complete the ground. I generally have a wire from the shielding that I run to the back of the pot as well. So overcautious maybe, but I would hate to lose the ground to the bridge or other components because a piece of shielding tape came unstuck.

Telecaster's are an exception. Almost all other guitars I have seen require a wire from either the bridge or the tailpiece (if it has one) to complete the ground.