Then it overheats when enclosed. It is ALWAYS enclosed.
Then the case is at 250 degrees C or more, it will severely burn a person, it will melt a nearby plastic capacitor or wire insulation and it will char a phenolic circuit board. It might peel the printed wiring off a pcb.
I do not operate a resistor at its maximum power rating. I don't operate ANYTHING at its maximum rating.
Why do you insist in including extremes as part of your explanation.???
If I put my my fingers in wall mains socket I will get a shock and possibly burnt fingers, thats why I DON'T do it.!
Any 1st year student knows that an enclosed resistor will over heat.
We also know that a component running at 250C could damage nearby components, BUT what has that to do with the LED resistance calculator.???
If you choose not to run resistors at their rated wattage, thats your choice, its NOT technically required.
You say you DON'T operate anything at its maximum rating, does this apply to your domestic appliances...
To make it easier for you to understand, if I was specifying a resistor that I was going to operate in an ambient temperature of say 100C, I would look at the datasheet for the resistors and make a Wattage selection based on that Tambient.
If the required wattage was say 1Watt at 25C in free air and I had a Tamb of say 100C it could mean I would have to choose a 2 or 3Watt resistor.... do you follow that OK.??