The power (W) rating and current (A) rating on the adapter is the MAXIMUM that the adapter can handle. If you exceed this amount by plugging in a different machine, you can fry the adapter. This is why some adapters have different plugs on the end. The computer will normally draw less than the maximum rated current.
And yes, you are correct, most lighting sources draw a fixed amount of power, such as the 500W-rated lamp. In other words, it will draw more power over an hour than your computer power supply due to the fact that the computer power supply will not often run at, or near, 500W.
Also, it makes no difference what voltage you are using - the power required remains the same. So 240W = 240V running at 1A. If you use a 12V inverter, the power will still be 240W, but the current will be 20A, plus a little bit more due to the heat created by inverters.
If you take a halogen lamp as an example - a 50W lamp will run at 0.2A if you use mains voltage. If you have a 12V, 50W lamp with a 12v transformer, it will run at 4A, but the power will still be 50W. And this can be seen because the light output is similar.