Mr. Parsons is correct - the officer's leadership rule does not "give" a squad the leadership of the officer, but merely allows it to "use" his leadership value for certain tests. The same is true for the vox network, which simply alters the way the officer's leadership may be used. SInce the second officer's leadership value does not change when he uses the first officer's leadership, it doesn't affect the leadership granted by his own leadership radius.
In most cases, this is a distinction with no difference - it does, however, prevent what the Lt. was suggesting.
Inquisitor Psychologis Ruminahui