It’s not impractical to bike your way home after work daily. It’s not both ways… but you could uber to work and bike home. Problems over finding quieter roads and avoiding peak traffic could be mitigated by doing this. Also, you can strip off and shower at your own convenience.
I’ve done short urban trips in Taipei. Each and every time, I sit at the red light on a Youbike and regret NOT choosing a quieter road. I LOATHE breathing in that scooter air. I honestly think scooters, trucks and old buses are sources for about 90% of the particulate pollution we otherwise call PM2.5. The air is getting better in many places but the volume of traffic is just insane. I don’t know why we aren’t taxing scooters more per KM for the pollution.