Except we voted and chose the plan, Skull Leader. Don't pretend ignorance here. It wasn't best, I argued a lot, but we chose initial strike per your suggestion and had to roll with the positioning it delivered. Then we went against the plan in a suicidal rush for absolutely OOC reasons: progressing our link first and foremost. Despite the danger, despite the burden it placed on Elesa, who obviously didn't want to allow Shinji to pathetically kill himself.
Basically, the fault rests on us, the voters. But it translates in carelessness and unthinking Hero-style vigor for Shinji. Which is all kinds of unsightly.
This is not like the fight with saving Rachelle, when Shinji abandoned his group completely and dived into combat without preparation. This is entirely on us.
(On a side note, I bet we achieved what we wanted, I.e. Perseus progression and quick end of the fight, so this conversation is mostly for the sake of characterization. Let's not worsen Shinji's mindset with needless defiance of obvious flaws.)
EDIT. Wait, I didn't actually adress the main problem here somehow. Do you honestly believe that following Perseus in his desire to look cool and "save the girl" regardless of decided upon plan was a good idea? From his vote, Daiki thinks that Elesa has misjudged her abilities and would have failed in killing the beast eventually (and that Shinji could have argued that point based on our OOC knowledge somehow). Do you agree?