Enforcing lower case routes in ASP.NET Web Api

gistfile1.cs

    public class RouteConfig
    {
        public static void RegisterRoutes(RouteCollection routes)
        {
            routes.MapHttpRoute(
                name: "DefaultApi",
                routeTemplate: "api/{controller}/{id}",
                defaults: new { id = RouteParameter.Optional },
                constraints: new { url = new LowercaseRouteConstraint() }
            );
        }
    }

    public class LowercaseRouteConstraint : IRouteConstraint
    {
        public bool Match(HttpContextBase httpContext, Route route, string parameterName, RouteValueDictionary values, RouteDirection routeDirection)
        {
            var path = httpContext.Request.Url.AbsolutePath;
            return path.Equals(path.ToLowerInvariant(), StringComparison.InvariantCulture);
        }
    }

Note that this doesn't enforce lower case querystring parameters, although it probably should.

Is there any way to enforce lowercase on Links generated? To be accommodating in what is accepted and precise in what is outputed.