Glad to here things are looking good.

Some thoughts...

If you say you took a personal LOA they may ask why...and then you have to be evasive, lie, or tell them you had an illness.

In some cases I imagine once you disclose an illness they will shut up and move on to something else. Of course they may draw their own conclusions about your future medical suitability. Generally interviewers cannot legally ask about medical details

Some airlines will simply take your FAA medical at face value (most regionals and SWA for example). Others do their own medical, with standards equal to or better than FAA (notably AA). If they are going to give you a medical exam you will have to disclose it to their doc anyway, but the interviewers are not privy to those details.

You might be better off just coming clean up front and saying that you had a medical issue but it is resolved and you expect no further trouble. If you start off being evasive they may suspect that you have something significant to hide.

You could conceivably tell them you had a sick family member that you had to care for (true, in a sense) but they might ask for details, out of sympathy if nothing else. But if they find out what happened somehow, probably from your previous employer, that would be bad.

I'm generally all about being honest, but when it comes to medical stuff I believe that should be between you, your doc, and the FAA. I would have no moral qualms about lying to an employer about medical issues...it's none of their business as long you have an FAA 1C. Just be sure you can't get caught.