There are several diesel forums out there that help understand the restrictions and upgrades of the 6.0l.
I've got a 05 6.0l. Yah, better let the engine idle warm for 5-10 mins or so in cooler weather. Also keep the throttle to a light touch till temps are up.
Other strong suggestions: timely proper maintenance and filtration for the fuel, oil and coolant. Use Motorcraft filters. Stay consistent with the mfr and type of the oil. Add by-pass filters to the cooling and oil systems. The cooling passages carry sandy residue and this hurting the internal cooling systems and the water pump. The by-pass coolant filter removes this debri. As stated, the oil system performs more than lubrication. It is the hydraulics for the injectors. Keep it clean and with vescosity, the engine will be happier. Adding a by-pass filter screens down to 2 microns whereas the stock filter is 13-15 microns. Changing the standard oil filter at 7.5k, perform oil changes (after oil analysis as required), the fuel filters at 10k, and the external trans filter at 10k. Since the injectors use the oil for pressurizing, adding 1 of 2 additives will support them for better performance.
You will read a lot about other issues dealing with the head bolts. If maintained and used properly, the 6.0l will last. Adding a tuner with custom tunes supports many other effects/actions done to the 6.0l. Delete kits for the egr are readily available. Adding an hi-flow intake is not necessary for near stock engines. Adding hi-flow exhaust is welcome.
I had to add an egr delete kit as the cooler broke and I ate coolant (cheaper than new cooler added; oil cooler has upgraded at same time). I added SCT tuner (customs from Innovative Diesel) to support the removal of the CEL and get better performance from my stock 6.0l. I've added by-pass filters for the coolant and oil and am still under the initial install mileage. My next additions will be the exhaust and oil additives (after change).