I do if I have to get up hecka early. Both because it's rational and a time saver, but also so I don't wake up the household. I also put anti-perspirant on after I shower just before bed, because if I sweat in my pits all night, then I'm gonna need to shower again in the morning. So full disclosure, I simply brish my teeth, wash my face and apply a second coat of pit chalk.
It's also kind of relaxing to have a brutally hot shower right before bed - and I sleep very hot, so the residual moisture on my skin has a cooling effect, even after drying thoroughly.