Dirkdigler, I wouldn't advocate "lying" on the form. It sounds like that there are plenty of competent, safe pilots flying commercially, with this condition.
You may like to explore your original diagnosis.......who told you that it was asthma, and why, what reasoning did they use? Has it been confirmed by objective tests ?
Your doc. may think that you are a bit of a pest, but it may be important to your future. Perhaps he could be persuaded to re-examine the original diagnosis, and, in the abscence of objective indicators, "re-label" you as having, say occasional wheezing. Just a thought, don't tell him I suggested it !
As regards the power of medical examinations in predicting sudden mortality----I hate to tell you, medicine's not that good !