Interesting that you chose to respond to the reply. The methodology is the same for each. Although there may be extensions available in English-speaking classes, your reference to this demonstrates a limited experience with ESL.
The methodology chosen for young students will inherently be different than those chosen for adults or more mature students. Surely you understand this?
You mentioned in your response about "extreme" differences between ESL and EFL. Can you explain what these extreme differences might be? A certified teacher's focus is on delivery of services and adjustments are necessary for the make-up of the class. I don't think this qualifies as extreme so concrete examples would perhaps be enlightening for those with less experience.
I hope this discussion will continue to help those with less experience.