Suppose one has a Morse matching (acyclic matching) of a poset $P$ of rank $n$ in which the only unmatched cells are 0-cells and $(n-1)$-cells, the same number $k$ of each one.

If $P$ is connected and has one maximum element, can I conclude that the simplicial complex associated to $P$ (minus the maximal element) is homotopy equivalent to a disjoint union of spheres? 

I know that if one has only one 0-cell (and the some number of $(n-1)$-cells) then the complex would be homotopic to a wedge of spheres, so I was wondering what would happen if one has more than one 0-cell.