Thank you for the links. I actually knew both of them. The first one shows the "dialog" to change the option. That works fine. But it has to be done manually. I want to do it automatically, through a script or so. But I can't find a way to do it so far.
The second one seems to me like a kind of circumvention: To read somehow the data not using a Table Checkpoint, maybe not even using TestComplete and then overwrite the contents of my stored Table Checkpoint Snapshot. But why do I have a tool like TestComplete to do it in such a complicated way? To toggle "Tools, Options, Stores, Update Table elements" works fine and just does, what I want. But why can't I do it automatically? Shouldn't TestComplete help to automate tests?
