This topic helped me to solve my problem. In my game there is one big big world, with smallest scene blocks that will be loads async by reach. So, when I create STM (UI) with reading, and hero going in area with new scene and begin async loading - then this STM reloaded and begin "read" from the start. I have removed all code from "OnSceneLoaded" and all going well (STM don't disappear and nothing else bad, Unity 2018.2.0f2). In all my cases of the game this is enough.
PS. At first, I tried disable "AutoRead" and run "Read" once when I want, but method "Read" don't work.