Not. LC works on everything. I used it all the time on my old Kennie glass cooktop. You won't find it very responsive though, but that's because of the cooktop, not the pots.

The thing is that you have to set the pot down, not fling it or dump it. :)

I used a 6-1/2 quart (made in france but sold at Costco) cast iron enamel coated pan yesterday.....induction glass cooktop...NO problems. Works amazingly well.

I have a Maytag Gemini electric smoothtop range that's at least 10 years old, and I use LeCreuset and Lodge cast iron all the time with no problems. It might be a problem if you put the burner on the highest setting and kept it there for a long time making the pan super hot, but you'd probably ruin your beautiful LC pan as well as your cooktop. I generally heat the pan up on medium high or high, but once it's hot turn it down a bit or sometimes more depending on what I'm cooking. These pans are some of my favorites, and I can't wait until I can use them on a good gas stove.
If I were you, I would keep them and use them. I should probably add that I do set them on my range fairly carefully due to their weight, but I would do that on any range or counter.