Okay... I remember having a similar concern a while back regarding US applications... I would say... Check it out. Do you have to have a health check or not? Are there forms that you need your doctor to fill in regarding the health check? Are they available online? Download them and have a look. What kinds of questions do they ask? If you are concerned... Maybe ring them up (from a payphone) as an 'anonymous query' and ask them.

Because...
Despite the 'political correctness' crap...
It can affect things.
It can indeed.
It can affect scholarships where health insurance is part of that (I know that for a fact - they are verrrrrrrry interested in pre-existings INCLUDING anything that seems indicative of 'mental instability').

I would say...

That you would be okay with seeing a doctor for something like depression...

If you are wanting treatment for a personality disorder, substance abuse etc etc then that is a whole different saga...

Good luck.