Is it CROSS_checking ? Looks like it is just processing many files separately. If so it's not what I wanted.

All the files are belong to the same project, so it should have the consistent consistency.

Indeed, it's processing each individual file... SDL never thought about cross-checking.
If you want to cross-check multiple files, you have to virtually merge them first (open them all in editor) and then run the QA check inside editor.

Though, the result is still half-useless since it tells you only the inconsistent segment number, but without telling from which file the segment comes... so you need to manually filter by the text of each inconsistency to see the segments... which is terrible manual work (depending on how many inconsistencies you have, of course).

Since SDL does not see this as bug (it was never designed to work this logical way, thus it's not a bug according to SDL), you can hardly expect any fix to be implemented in next few years (based on past experience).