I most definately had that problem. I was diagnosed about 2 years ago and have not followed the diet and now just getting the swing of it because of all the stomach issues that I have.
I have been choking on and off for about 10 years. I have had lots of tests and they always say it is nothing. Just on a whim the DR gave me some samples of nexium(purple pill) and it works. I have not choked on my food in the past 3 months since taking this. I dont know if it is related to celiac or thyroid as I have both but that works.
I hope that helps.