That amount of bullshit right there is precisely why I installed and ran a charger on my 04.I havent had either but @Chris is right about running a low enough psi and proper tune to do no harm... while he chooses turbo over superchargers I have no idea, maybe because you might not suffer as much in MPG with a turbo since they spool top end? but if im not mistaken turbos generate more heat and give more power at the top of the powerband, while superchargers give you immediate torque/power all across the rpm range since they are belt driven(twin screw style) If I were boosting my TJ, I would supercharge it.
1- you can not make power without additional fuel. Therefore if you run the engine where you can tell it is boosted, your mileage will suffer.
2- chargers give you power when you put your foot in it. If you don't, they act exactly the same as stock at any RPM. If you do not put your foot in it, you would never even know that there is a charger installed since they are 100% demand based.
3- you can NOT compress air without producing heat. The heat needs to be dealt with however you compress the air.
4- even at the low 6psi that is the common boost pressure, detonation will have to be dealt with in some manner or you'll do not nice things to the motor.
5- if you can't get a minimum 6psi in boost, don't bother, the minor increase in felt performance is not worth it.