The change in events that would have been most influential on the outcome of the Battle for Iwo Jima would be if the Navajo code talkers had not been used for communication.
During World War II, the use of the Navajo language as a code provided significant advantages in secure and efficient communication among U.S. forces. The success of operations, including the battle for Iwo Jima, relied heavily on the ability to convey commands and intelligence quickly and effectively without the enemy being able to intercept and understand the messages. If the code talkers had not been utilized, it could have led to miscommunication, confusion, and delays in command and control, potentially impacting the battle's outcome.
The other options mentioned do not directly relate to the specific events and communication strategies in the Iwo Jima campaign and thus would be less influential in this context.