Label is always displayed. Value is what is stored in the database. To force it to always display the Value you'll need to edit your field then use the Layout parameters, which let you customize how a field displays, and substitute in the raw value of the field. See the below substitution tutorial on how to use subscriptions.
www.joomlapolis.com/documentation/279-community-builder/tutorials/18353-using-substitutions-throughout-cb
Note substituting in the raw value will have no formatting if this is a multi-checkbox field and they select more than 1 value. For dynamic labels you'd need something like CB Code Field for PHP based processed field options.