I don't think you know what VED is used for
1. anybody who pays VED the money goes to the general tax fund which is then divided to different tax areas of which some goes to the upkeep to roads and to fund infrastructure projects such as widening of roads, tunnels, bridges and any restructuring required including cycle lanes. This means that anybody who pays VED is paying more to the upkeep of roads and new infrastructure projects.
Not all VED is used directly for the roads but goes into the general taxation pot to be directed to other areas besides roads etc but it still contributes extra to the maintenance of roads above the standard tax that working none motorists pay