I never suggested they should snapshot your character's appearance for every quest, that'd just be unrealistic. "^ ^
I was suggesting something like what the ARR intro and DRG level 80 quest does where they'll put your character in job gear appropriate for the referenced level (i.e. in the DRG level 80 quest it flashes back to HW so your character is always in the level 60 job gear)
The thing is I'm not sure if they actually have a flag that checks for your current job that would allow them to do this or if the ARR intro is just an edge case where they made a different cutscene for every single possible job, which would explain why the only other time they've ever done this was in a job quest which wouldn't allow you to use anything else anyway.