Not necessarily disqualifying, but they do indicate a potential medical issue that will have to be disproved. One of the big things to learn about the FAA medical is that "innocent unless proven guilty" isn't the way it works. If you give indications of a medical condition, they will assume you have it until you prove otherwise. Why? Because their concern is safety first.
Consult with a senior AME - it's not a medical exam, you'll pay them and talk about your specific situation and the rules around it. You will most likely have to have a workup with a psychologist with the intent to prove that the previous doctors were wrong. It will probably be expensive and you still might not be able to meet the standard.
Do not submit for a medical until you have the passing paperwork in hand. If you cannot meet the FAA medical standard, there is a certification level called "sport pilot" which only requires a driver's license. It comes with some restrictions, such as daytime VFR only, 1 passenger, 120 kts max, and 1320 lbs airplane max weight. But it's still flying and to be honest, many pilots never do more than that.
The last - don't even consider trying to hide it. First, you don't want to be in the situation of looking over your shoulder forever. Second, they are likely to find it, especially if it was paid for by insurance. Third, that isn't the culture of aviation. Hiding things and hoping they go away isn't a successful long term strategy.