Wow! That sure looks like it. I searched a bunch of Spanish gardening sites and mostly discovered that there are dozens of plants commonly called 'coqueta' in spanish. One of them is Alternanthera Ficoidea but it was the colorful one, Jacob's coat I think. Now that I have looked at all of these Alternantheras, I recognize several others that I've seen in the nurseries here.
I think that a Alternanthera Ficoidea Snow Queen is the one I have, it looks identical to mine. Plus, I was always a bit bothered by the other descriptions saying it could grow to several feet in height. This one says 6" to 12" which is closer to what I've seen over the last 2 years with mine. I think we've got an ID here, what do you think? Should I put it in the database?