Strange thing because on my previous GS3 don´t need root to back up EFS.
Different equipment’s, different things. Okay.
I don´t need root on my Note 3. I am pretty satisfied with my Note 3 performance.
Will you root your Note 3 just to be able to backup EFS?
Bad things can happened and even thinking in just flashing stock firmware I would be more serene having EFS files just in case anything goes wrong!