Here's some points to consider. I back to back tested a crappy "cold air intake" Mopar put out several years ago on my old supercharged car. It had no "cold air" feature about it and we jokingly called it a hot air intake LOL. However it picked up 30ish RWHP. Did this have anything to do with the air temp? Definitely not, it was all about air FLOW and the supercharger obviously liked it. This same crappy intake picked up 5-6 rwhp back to back on the stock 5.7 motor before it was forged, stroked, and supercharged. Also consider that SRT now has open filter elements on all the Hellcat models I believe and they've increased their hp ratings as well.
Now let's look at the Hellcat. My 2016 has several temp sensors, none of which are in the intake tube that I know of. All my intake tube has is a PCV bung and the MAF. The temp sensors are bolted to the supercharger base. The one I've been monitoring in my log is listed as "Aircharge Temperature". I'm not sure exactly which of the many sensors it's reading the temperature from, but I do know it's after the supercharger because as boost goes up so does the temperature reading. This is a result of the supercharger compressing the air which heats it up. I'll hook up HPTuners later today and see if I can find other temp sensors to monitor out of curiosity. Later models now have a temp sensor in the intake tube, so that testing would be interesting but they already have open element filters as previously mentioned.
Worrying about what the intake air temp or aircharge temp, or whatever, is cruising and idling is a moot point on these as the sensor, at least on my 2016, is bolted to the supercharger which is gonna heat up no matter what. What I see having the biggest impact on the aircharge temp is what my intercooler coolant temp says.
What we should really care about is the air temp as WOT. Looking at logs from the stock air box and my 2.72 pulley making 17-18psi vs the LMI I had on the car previously which had no shielding what so ever to block hot air, the LMI ran about 8 degrees cooler at the top of 4th gear 6500 RPM in my car. Still a lot of variables to consider and I found logs in similar weather but burnout time, idle time, etc all impact the end temps.
Even then the temperature isn't the real story though, it's air flow and 8 degrees is really nothing when we're talking about 125 - 130 F temps.