I don’t understand your comment because bike commuting advocates advocate for biking by demanding implementation of solutions to the precise problems you’re talking about.
1) If you have a reasonable bike lane network, you can reach significant distances while biking at a comfortable pace at which point you won’t really have any visible sweat. It actually requires effort to run up a visible sweat while biking (other than where you’re seated).
2) If you have a reasonable bike network, everywhere in a city should be easily accessible via bike no matter where you need to go. It’s far easier and cheaper to build new bike access than new car access. And converting a lane is a matter of signs and a few cones.
3) If a place has a reasonable bike network you can actually use the several hundred dollars a month on gas and car insurance and the depreciated value of your car to probably move in closer to where you work.
4) An average biking speed for a fairly average beginner is something like 13-14 mph. That’s about 20kmh. So your 10km distance is about 30 mins. And you’re military. It’s likely you could go 50-75% faster without breaking a sweat.
5) The discrepancy between men and women (and likely ethnic minorities) is entirely due to a lack of infrastructure. Everywhere there is good bike commuting infrastructure the disparity diminishes. Making biking safe eliminates gender disparities at least.
There are many countries that are doing this successfully. It’s not a unique or novel concept. There may be American cities that are so sprawled out that it doesn’t make sense, but even there there’s value within city downtowns.
And all of the above is for regular normal bicycles. Add ebike and pedal assist to the mix and the argument becomes way stronger.