For anyone who thinks this would be a good tradeoff, this would be the worst sleep of your life.
I've only had sleep paralysis a couple times and it was always because I was stressed about homework/work and my brain kept trying to work through the problems in my sleep. It is a terrible experience. Sleep is about way more than physical rest. Depriving your brain of good sleep will ruin your memory and make functioning during the day exceedingly difficult.
Plus, let's look at what employers did in response to women entering the workforce. Has average household income doubled? No, pay has stagnated to the point of households needing two incomes to meet expenses. Don't expect working through your sleep to mean a life of leisure in the day. You're more likely to see wages fall to the point where everyone needs a day job plus a sleep job.