Does DataGrid.RowStyle override DataGridColumn.CellStyle?

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C#

WPF

DataGrid

I have a DataGrid that I'm AutoGenerating the columns.
I want to specify a ToolTip on a range of the columns, (skipping the first one, and last 4).
I'm thinking I should be able to do this with the DataGridColumn.CellStyle.
However, I want to override this on rows with errors so the ToolTip explains the row error.
I already have the Row error styling:

<DataGrid.RowStyle>
  <Style TargetType="DataGridRow">
    <Style.Triggers>
      <DataTrigger Binding="{Binding Path=Row.HasErrors}"
                   Value="True">
        <Setter Property="ToolTip"
                Value="{Binding Path=Row.RowError}" />
        <Setter Property="Foreground"
                Value="White" />
        <Setter Property="Background"
                Value="Red" />
      </DataTrigger>
    </Style.Triggers>
  </Style>
</DataGrid.RowStyle>

Can I add the DataGridColumn.CellStyle but still have the DataGrid.RowStyle take precedence?
Is there a better way to accomplish this?

[Edit: MTH]
It appears the DataGridColumn.CellStyle supercedes the DataGrid.RowStyle :(
[/Edit]