I like it way way way more with an A turn than with a J turn.

I feel like if you're gonna get looked up, you'll potentially get looked up by some worse hands: KQ,KK or who knows some worse A even. I think your line looks somewhat bluffy (especially since the four card straight came in, and you're still pushig) and he might call you light, so your push is for sure for value.

I think if you do this on the J turn, then you're turning your hand into a bluff since all the likely hands to call you down are beating you obviously. If villain is capable of folding than it could be profitable on a J turn as well though, since he will also be scared of QJ (though not sure if he'd believe you would c/r flop with i it).