Forge Air induction/K&N air filter with 4" intake to factory box

[Prudence]

Hi guys, in fairly new just wanted to get some second opinions for my next modification, I currently have a DS3 running a stage 1 remap and a custom exhaust cat back at 2.5". Im looking at getting it bumped to a stage 2 but definitely need better cooling, so here's the question. Which one is better for this case, a mini specialist recommends the stock box option, just want a second opinion, cheers