I hardly can believe you drive your car at 6000 rpm all the time. Don't you shift gears once in a while?
If you're in dragsters, the power you have to measure is when revs are slightly down from your maximum (think about how much power you use at 6000 rpm: your engine stays there for a few tenths of a second!). If you want to adjust your car for optimum power, look for the middle of the RPM range you use.
For example, if your gear ratios take your engine from 4.000 to 6.000 rpm while you're racing, tune the engine for 5.000. If you're an artist (or a neurotic) of tuning, look for the RPM range you will use
at the overtaking points in the track. Tuning for max RPM and max torque is only
when you want to sell the car in Road & Track magazine or you're planning to break a speed record at Bonneville Flats.
I've never heard of adjusting valves when hot. That's definitely a huge no-no, as Dave explains.
I've seen a method (that I don't recommend because I don't like to run a block with bolts removed, afraid of ANY thermal distortion) to check the clearance. You run the engine with the valve cover removed and you pull the gauge, to "feel" the clearance" (allegedly, you has to feel like you were stretching bubble gum).
Of course, you have located the gauge between the valve and the seat before starting the engine. This has to be done with the engine as cold as possible (running it for a few seconds and turning it off and allowing it to cool before checking the next valve). You have to test the clearance definitely under 100 degrees of engine temperature, as stated in most specifications I've seen that mention temperature explicitly.
Why, in heaven's name would you want a clearance at all when valves are hot? The clearance "is there" to adsorb the thermal expansion, for Benz's sake!
I think I know where they got that idea: from the always popular "Department of Ideas We Take Out Of Our *ss".