Well, my understanding is turbo normalized is pretty much automatic, with no pilot input. Traditional turbo charging will require the pilot to adjust the waste gate to keep from potentially imploding the engine. More pilot work load as if there wasn't enough already. My vote would go with the automatic system.
This has me puzzled. If the point of TN is for the machine to maintain 29.92", or 30" it implies that it is automatic. If using full throttle is safe for a NA engine at sea level, why can you not use a TN engine full throttle at all altitudes? Is this because the system is not capable of maintaining 30" when the outside barometric pressure is greater than 30"?
There seems to be some confusion here. Both turbocharged and turbonormalized systems can be "automatic" or otherwise.
Turbonormalized = a system which allows you to main normal sea level MP of ~30" to higher altitudes.
Turbocharged = A system which boosts MP to higher-than-sea-level MP. For example, a Seneca II can be boosted to 40".
That's the difference. I think most aftermarket systems are TN because as far as the engine is concerned nothing has really changed - The intake and exhaust are different, but the engine wouldn't be doing anything different except for running hotter (due to the compression from the turbo) intake air, unless it's intercooled.
Intercooler = A device that cools intake air between the intake side of the turbo and the engine. When outside air is compressed, it becomes hotter (PV = nRT). The intercooler looks somewhat like a radiator but what's passing through it is air instead of coolant.
Critical Altitude = The altitude above which the turbo can no longer provide full power. Upon climbing through the critical altitude, the wastegate (an an automatic or manual wastegate system) is fully closed (or on a fixed-wastegate system, the throttle is fully open) and MP will begin dropping as you climb higher.
Now, there are three types of wastegates, and I think any of them can be installed on either a TC or TN system:
Automatic Wastegate = Just like it sounds. Via mechanical or electronic means, this wastegate is controlled so that you push the throttle all the way in to get full power. At sea level, a TN system with an automatic wastegate will leave the wastegate open because you've already got full MP from the outside air. TN or TC, as you climb MP will be constant until you reach the critical altitude at which point the wastegate is fully closed and the turbo is providing maximum boost.
Manual Wastegate = Also just like it sounds. The pilot is directly in control of the wastegate. In some systems (eg Cessna T182) the wastegate is controlled by a linkage connected to the throttle control and operates from the pilot's perspective somewhat similar to how a Fixed wastegate does (described below). In other systems (eg Piper Comanche), there is a "second throttle" that controls the wastegate independent of the throttle. When there is a second control, you can take off or go around with full throttle, and then as MP drops you can continue to boost MP in the climb by using the wastegate control to increase boost. When the wastegate control is fully forward, you're at the critical altitude.
Fixed Wastegate = There really isn't a "gate" here per se, just a fixed-size orifice that, in terms of operations, resembles a manual wastegate that is partially closed. The amount of boost you get is always constant, and power is controlled by the throttle. Piper Turbo Arrow and Seneca II-V use this type of system. You cannot push the throttle full forward on takeoff or go-around without overboosting the engine - You must set power carefully using the MP gauges, and as you change altitudes you must keep moving the throttle(s) to maintain MP. As you climb, when you reach full throttle at full MP you are at the critical altitude.
I personally don't care for the fixed wastegate systems or the throttle-controlled manual wastegate systems because you can't just push the throttle all the way in for go-around (or takeoff). Automatic is nice, but the fixed manual system isn't bad - You can still use full throttle for TO/GA, and simply make small adjustments for climb and descent. You'll also be able to "turn off" the turbo partway through the descent and have it cooled down nicely by the time you land, whereas the fixed systems tend to require you to idle for several minutes after landing to ensure that you cool the turbo down enough prior to shutdown to avoid the oil left in the bearings at shutdown from getting cooked.
Hope this helps some people's understanding... (Ted et al, feel free to correct me as necessary!)