The key to bike infrastructure is that it needs to be a connected network. Even a path that goes 99% of the way directly from your house to your workplace is completely useless if there's a barrier (e.g. a stroad that's unsafe to bike along, a freeway with no bridge across, etc.) occupying the last 1%.

That said, the other important takeaway is that a bike path like yours might be useless at the moment, but that doesn't necessarily mean the money spent on it was a waste. Instead, it could mean that it's vitally important the city keep going and build more connections to retroactively make it useful.