As Dan said, a normal quartet exhibits 1:3:3:1 splitting. If you go through the binomial expansion, you'll see a symmetry between the peak intensities of a multiplet. This peak shows very little symmetry, suggesting something else is going on. Furthermore, as in any peak analysis, it's important to consider the integration in addition to the chemical shift and multiplicity. In this case, you have two hydrogens for that peak.
The bottom line is that it is possible for two different hydrogens to have nearly the same chemical shift, so that their signals overlap. Take a look at the solution molecule provided in your link and consider what you expect its spectrum should look like. You already implied the correct expectations in your original questions. Use these expectations, along with what Dan and I have said, to understand what is going on with that mystery multiplet.