I have night sights on most of my handguns and CT sights on three of them.
Once dialed in, my CT sights stay put. It is a different feeling using them because your focus is shifted from the front sight to the red dot on what ever target you have selected.
On my guns, the CT sight is offset to the right so there is only one place where the POI and sight are the same. Once you get past that point the divergence can become pretty extreme.
Mine are set at about 25 feet and they really do work. Light the target up and squeeze the trigger and watch the hole appear.