I find this entire topic a bit strange and flawed at every turn. You could be as skinny as a whippet and unemployed. But why would you take a job 5 miles away, just because you are given a bike? If you really wanted that job, you could walk the 5 miles and earn the money in the first month or two to buy a second hand bike.
Is the state also going to supply waterproofs, tubes and tools?
As for getting obese people to take medication and ride bikes to work. Its pie in the sky stuff.
Don't underestimate the power of the lazy or ignorant, that was me! The first 5 years I lived in Leeds all my jobs were within 5 miles of me. The only one I walked to was one that was about 1.5 miles. The others were more and I got the bus, horrible First service and overpriced but cycling never crossed my mind.
Fast forward to my last years in Leeds and I started cycling because I'd moved outside of the 'Inner City Zone' for the bus and couldn't afford it. I actually went all in at the start, got a Cycle2Work bike, lots of gear, racks, panniers the lot. It was all new and exciting but I can see why someone might be put off at the start
So if someone had sat me down and said 'Its a 3 mile ride, just wear what you normally do and take your time' it'd have been a lot quicker, easier and cheaper! Leeds has several cheap and accessible social bike repair shops so no tools needed really. I wasn't unemployed but if someone had given me a job, and a bike to get there I'd have been happy as a pig in 💩