Bifurcator, you are confusing what we are saying by 'total light' with 'exposure' which are not the same. Exposure is light per unit area. TOTAL light, is the total amount of light gathered by the sensor.
Think of it this way...you've got a bucket and it's raining. The amount of rain is the same over all area for the same aperture, that is...if it rains 1", there will be 1" in your bucket regardless of the size of the bucket. This is exposure.
If, however, your bucket is 4 times larger...it's still 1" deep in the rain, but you have 4 times the amount of water in your bucket because the bucket is bigger.
You use all that water to create the image, so a full frame image at f/2 will use 4 times the amount of light to create the image as a m4/3 image at f/2. They will have the same exposure, but the S/N ratio is much higher on the FF chip because it uses more total light.
Again, given the same sensor technology, since as things have progressed, sensors have become more efficient at gathering light over the same area.