Is Makeup remover suppose to burn?

I used to always remove my eye makeup with plain old baby wipes and vaseline. But then, I decided to try out Biore Deep Cleaning Makeup Removing Towelettes because they advertised it was Infused with Green Tea extract and vitamin e and stuff. So I went to walmart and picked some up. But then when I used it to remove my eye makeup, under my eye, and my lids burned really bad. It did a good job removing the makeup, but my eyes were really red and dry after using it. Vaseline never did that to my eyes. Is that just a makeup remover thing? Or do my eyes just need to get used to it or what?