Well, it does if you aren't trying to get anywhere, and if like you or I, you are able-bodied, and experienced enough to deal with vehicles. However, for families trying to do the shopping, and kids trying to get to school, for example, you need to get to your destination in a reasonable time, and sharing roads with trucks and private cars is both dangerous and terrifying.
This is why the number of children and families on bikes increases dramatically where there's safe, well-built infrastructure. You may not feel the need, but they do.
Come to that, so do I: I was able to accept at least one job because I knew there was a traffic free cycleway following the main road from home to work: the alternative would have been riding on a busy road, equivalent to an A-road in the UK, which wouldn't have been practical.
In cases like this a cycleway isn't just safer, it's a good investment: it's a lot cheaper to maintain a cycleway than a road, so I was bringing in money to the economy while costing less than the cars passing me every day.