Good video. I like some of it, I disagree with some if it. Such is life. Personally, I'm never going to lunge and commit all my weight into the thrust. In Kali, we use a much different style of the thrust that does not expose the lead leg to a counter attack or evasion tactic. I realize this is a key component to epee/fencing.
It has the same range as a lunging thrust with none of the exposure. That being said, I've seen plenty of duels where the Fencer quickly overwhelm's their opponent and ends the fight with what I call " The all or nothing " lunge attack. On the flip side, I've also seen the Push Shuffle, Step - Slide - Step and Slide - Step variations of the lunge fail and leave them completely exposed, especially against any practitioner that uses the Zoning/Sectoring method and some good foot work.
Go with what works for you I always say

Everything is HappenStance.