domain name system – Load Balancing DNS with Google

I plan to achieve load balancing by using Google to balance NS/DNS between each three server.

I am setting up three servers, with cluster DNS, records replicated between each server.

I plan to setup NS1/2.example to point towards Google’s Load Balancer(Anycast).

Instead of pointing NS1/2.example to each individual server.

Would this approach be beneficial(Performance?