You can't just deliver stuff to the path of a cycler and magically have it pick it up with a velocity difference of kilometers/s. You need to match orbit with i

You can't just deliver stuff to the path of a cycler and magically have it pick it up with a velocity difference of kilometers/s. You need to match orbit with it, which in fuel terms is no cheaper than flying the entire path. And this orbit matching is generally more expensive than flying directly. (Especially because you need to raise and then lower your perigee, so a "shuttle" flying between the ground and the cycler earth end would have to burn much more delta-v than a direct ascent stage that can always keep it's perigee down and just raise apogee until it intersects with the moon.) Again, cyclers make sense when you have something heavy you want to perpetually travel between the endpoints, and do relatively light transfers at the ends. But you don't need anything like that for the moon. For the moon, you can just take the stage that would have matched orbits with the cycler and fly to the moon with it, it's just 3 days, you can pack people like sardines for 3 days.