@bigdog9191999 I'd like to elaborate on your comment about throwing fueling tables off in PCM. There's a bit more to it. The computer has zero issues fueling at a lower temperature. However, from the factory trucks are tuned to run at higher temps (emissions reasons, carbon buildup, performance of catalectic converters?) that part is above my head.
You get more air and produce more power at a lower temperature, however, it does effect the gas mileage a bit. My C5 Covette is tuned for a 160F thermostat and runs cool. The engine I just finished building for my truck, I kept a factory t-stat in 180F? Don't recall exactly what temp. Truck runs at 210ish tops. No problems so far.
I don't think it will cause any issues what so ever other than maybe a small hit on gas mileage to run at a lower temperature. You don't even really need to adjust the factory tune for the lower temp thermostat other than reprogram cooling fans if you have electric ones.
Here's a screen grab off my tuning run for new engine I built. It's a 6.0L with all the 5.3L cooling stuff, no oil cooler, and smaller radiator for 5.3L (I think 6.0L has a bit larger radiator?). I'm really hammering on the motor to try and hit as much of the load range as possible and it's sticking at around 200F in 100F weather. Running like a top too.
I'd not sweat it if you're not over boiling point. And as for the restrictor, that small line is a relief to revivor if you over pressure right? It bleeds extra air to the tank, then if pressure continues to build, extra coolant out the drain / cap.
PS. One separate note if anybody knows if that's normal for O2 sensors to behave like that let me know.