No they moved because they were basically going to be left behind in a dead mall without any other high end stores. LVMH has never had any control or say in the location of the stores even when they owned the minor stake in the company and the Design District has a lot of boutiques that are not part of the LVMH group. All the stores were courted away from the mall with buildings, lower rents, promotional dollars etc. LVMH now has no stake in H at all though it makes sense that their stores are frequently adjacent in shopping centers.
Malls are falling behind because they have premium rents, take a royalty on sales sort of like a condo fee and they are expensive to maintain and keep looking current. I still go to a very lovely mall in my area that just invested heavily in luxury store spaces but there are also a dozen other malls in the area that I haven't set foot in for years. When there are fewer it will be better. As to what to do with all that square footage, I don't know what will come of them. Most are very large and need a lot of work to keep up.
Did anyone read the book Gone Girl? There was a defunct mall in that story that was full of homeless, drug addicts and squatters.