Mobility-based charging is a novel approach to road user charging based on the recently introduced mobility consumption theory. This theory proposes to measure mobility as the consumed space-time of a vehicle that includes its safe headway in car-following mode; the computation of this measure is based on travel time, travel distance, reaction time, and minimum space headway. Hence, mobility-based charging charges jointly for travel distance and time of vehicles. So far, mobility consumption research has focused on foundations and illustrated impacts for stylized road sections, but not on how mobility consumption theory and mobility-based charging apply to entire road networks and impact the network outcomes in comparison to existing road user charging schemes like distance-based charging or congestion charging. This paper addresses this gap by using a static traffic assignment with inelastic demand in Chicago, Munich and Sydney. We show how mobility-based charging is positioned between distance-based and congestion charging. We find in particular that the network outcomes in total travel time and distance differ substantially between different road user charging schemes. Hence, a careful policy assessment is required before introducing a successor to the existing road user charging of fuel excise tax and registration fees.