Why does getView return wrong convertView objects on SeparatedListAdapter?

I adapted the SeparatedListAdapter from Jeff Sharkey to my needs and got something like this:

public class SeparatedListAdapter<T> extends BaseAdapter {

    @SuppressWarnings("unused")
    private final String LOG_TAG = getClass().getSimpleName();

    public final static int TYPE_SECTION_HEADER = 0;

    public final Map<T, Adapter> sectionAdapters;
    public final ArrayAdapter<T> headerAdapter;

    public SeparatedListAdapter(ArrayAdapter<T> headerAdapter) {
        super();
        this.sectionAdapters = new LinkedHashMap<T,Adapter>();
        this.headerAdapter = headerAdapter;
    }

    public void addSection(T section, Adapter adapter) {
        this.headerAdapter.add(section);
        this.sectionAdapters.put(section, adapter);
    }

    public void clearSections() {
        this.headerAdapter.clear();
        this.sectionAdapters.clear();
    }

    @Override
    public int getCount() {
        // total together all sections, plus one for each section header
        int total = 0;
        for(Adapter adapter : this.sectionAdapters.values())
            total += adapter.getCount() + 1;
        return total;
    }

    @Override
    public int getViewTypeCount() {
        //count headers, then total all sections
        int total = this.headerAdapter.getViewTypeCount();
        for(Adapter adapter : this.sectionAdapters.values())
            total += adapter.getViewTypeCount();
        return total;
    }

    @Override
    public int getItemViewType(int position) {
        int type = 1;
        for(Object section : this.sectionAdapters.keySet()) {
            Adapter adapter = sectionAdapters.get(section);
            int size = adapter.getCount() + 1;

            // check if position inside this section 
            if(position == 0) return TYPE_SECTION_HEADER;
            if(position < size) return type + adapter.getItemViewType(position - 1);

            // otherwise jump into next section
            position -= size;
            type += adapter.getViewTypeCount();

        }
        return -1;
    }

    @Override
    public View getView(int position, View convertView, ViewGroup parent) {
        int sectionnum = 0;
        for(Object section : this.sectionAdapters.keySet()) {
            Adapter adapter = sectionAdapters.get(section);
            int size = adapter.getCount() + 1;

            // check if position inside this section 
            if(position == 0) 
                return headerAdapter.getView(sectionnum, convertView, parent);
            if(position < size) 
                return adapter.getView(position - 1, convertView, parent);

            // otherwise jump into next section
            position -= size;
            sectionnum++;
        }
        return null;
    }

    @Override
    public boolean areAllItemsEnabled() {
        return false;
    }

    @Override
    public boolean isEnabled(int position) {
        return (getItemViewType(position) != TYPE_SECTION_HEADER);
    }
}

The problem I encountered is that the API feeds onvertView objects from the wrong adapter to getView(), leading to problems. I think I correctly implemented getViewTypeCount() and getItemViewType() and checked that with the debugger. What else could go wrong?

Here is one of my adapters:

public static class MeetingAdapter extends ArrayAdapter<Meeting> {
    static class ViewHolder {
        TextView title;
    }
    private LayoutInflater inflater;

    public MeetingAdapter(Activity context, List<Meeting> meetings) {
        super(context, 0, meetings);
        this.inflater = LayoutInflater.from(context);
    }

    @Override
    public View getView(int position, View convertView, ViewGroup parent) {
        Meeting meeting = getItem(position);

        View rowView = convertView;
        ViewHolder holder;

        // instanceof should not be necessary!!! normally convertView should be of the right type!
        if (rowView == null || !(rowView.getTag() instanceof ViewHolder)) {
            rowView = inflater.inflate(R.layout.list_item, null);
            holder = new ViewHolder();
            holder.title = (TextView)rowView; // tmp - layout contains only a textview for the moment
            rowView.setTag(holder);
        } else {
            holder = (ViewHolder)rowView.getTag();
        }
        holder.title.setText(meeting.getTrack());
        return rowView;
    }
}

Help please? Getting crazy over this.