Where does the cited document state this?  It confirms that there are no existing facilities for biking, but the the physical facilities and access/designation are two separate matters.  You're assuming that because a certain type of biking facility does not exist that this changes access rights/designations.  It doesn't.  

It would be like saying that because a street lacks parking stripes that I should park in someone's private driveway or yard.  The absence of the parking stripes does not mean I should park my car elsewhere.  If it's legal to park on the street, that's where I should park regardless of there being parking stripes or not.

Under Missouri law, streets and roads are by default designated for bike use, regardless of there being any biking facility, unless otherwise indicated. Sidewalks are designated for pedestrians (and bikes, under specific operating conditions), unless otherwise indicated.  