I worried about that myself Bizarre - I understand your concerns, but in the end you're seeking help to keep you going with work and with life: to make these things better and to free up the headspace we waste ruminating. I think it gets to a point sometimes where that need for support outweighs these possible problems.
So many people suffer mental health issues of one kind or another these days. Many people need some meds for a time to support them through a tricky patch - some therapy or both. Lots of people have to take time out for these things. If you are still working and its not affected by your disorder and you aren't having loads of time off for it that would seem to be the main thing. That's all they're really worried about - right?
I don't want to condone witholding info as a good idea, but it seems with most pre work OH questionaires they only investigate if you suggest there is something for them to investigate. I blame the ruthlessness of Capitalism for the whole OH system!!!!!