Hrrmmm....well my 2010 LLT doesn't seem to have a bad delay. I can't say that it is instantaneous or anything (off idle), but if I give it a good amount of the go juice it seems to take off quick enough that I don't notice anyting abnormal.
Of course I can't speak of the LFX.
Going to be hard to determine this without you trying another owners V6 or maybe even posting a video.
2016 Camaro 1SS - 8-speed - NPP - Black bowties
2010 Camaro 1LT V6 (Sold. I will miss her!)