Wait a minute in the UK there is a cycle to work scheme where people get subsidies to buy a new bike. I have not heard of a drive to work scheme where you can get a cheap car.
If you decide to ride to work off your own back then you are saving money on petrol and servicing. But you dont have to, you can drive and get the subsidy.
We are in a take, take, take society.
How about not thinking of trying to take something from the Company for nothing. And letting them keep their money to build the Company to keep you in work. Or if you think that little of the Company, leave and get another job.
I have a 24 mile round trip cycle to work and often start work at 5am. I dont get paid for cycling, it is my choice.