Several people have already touched on this, but having more complicated, expensive missiles/drones/whatever in order to get past an APS is a different proposition than just attacking the APS directly. APS systems are vulnerable, expensive and if they are destroyed then all sorts of difficulties attacking the tank go away.
My analogy is to SEAD: SEAD works best by attacking missile sites and their radars, not by trying to defeat the SAM systems in some sort of 1 on 1 fight between one plane and one missile. Conventional artillery fire, AHEAD type munitions, and even .50/14.5mm AMR and machine guns are all (relatively) cheap ways to attack an exposed APS.
For vehicle mounted ATGM systems, it's easy to envision a combined firing sequence that, for instance, fires a volley of AHEAD rounds and then automatically launches an ATGM at the same target; the whole sequence would only be half a second to a second longer than just launching a missile. The AHEAD rounds will have a very good chance of knocking out the APS, just in time for a regular ATGM to hit the target. If the AHEAD rounds mess up the tanks optics, that's just another survivability bonus for the ATGM vehicle.