Probably not. If a lot of energy is being used in the clean up process, then the need for sleep is most likely driven by the physical advantages of sleep, not the advantage of using less energy or similar.

Note this quote: "Cells in the brain, probably the glial cells which keep nerve cells alive, shrink during sleep. This increases the size of the interstitial space, the gaps between brain tissue, allowing more fluid to be pumped in and wash the toxins away."

Neurons are powerful cells that are so active that they cannot even keep themselves healthy. The glial cells are there to help. If the glial cells are shrinking and (presumably) partially shutting down in order to efficiently clean out the brain, then sleep is an efficient engineering solution -- you are trading off having a super-active brain for ~16 hours at the cost of a less effective brain for ~8 hours.

There may be less efficient solutions that allow for 24 hours semi-wakefulness, we might be able to tune the total activity of the brain down for continuous operation, but being in a groggy half-asleep state all day is probably not what you were hoping for.