To reproduce:
Add a RadGridView and fill it with data. Set the first column's IsVisible property to false. Right click over the row to Copy the row content and paste it in Excel. All data is in a single cell. The Clipboard content does not contain the corresponding <TABLE><TR> tags.

Note: if the last columns is hidden, the line-breaks in the copied text are missing.

Workaround: create custom RadGridView and replace the wrong content in the Clipboard:
public class CustomGrid : RadGridView
{
    protected override RadGridViewElement CreateGridViewElement()
    {
        return new CustomRadGridViewElement();
    }
}

public class CustomRadGridViewElement : RadGridViewElement
{
    protected override MasterGridViewTemplate CreateTemplate()
    {
        return new CustomMasterGridViewTemplate();
    }
}

public class CustomMasterGridViewTemplate : MasterGridViewTemplate
{
    public override void Copy()
    {
        base.Copy();
        
        if (Clipboard.ContainsData(DataFormats.Html))
        {
            string data = Clipboard.GetData(DataFormats.Html).ToString();
            StringBuilder sb = new StringBuilder(data);
            if (!data.Contains("<TABLE>"))
            {
                int insertIndex = data.IndexOf("<TD>");
                sb.Insert(insertIndex, "<TABLE><TR>");
            }
            else if (!data.Contains("</TABLE>"))
            {
                int insertIndex = data.LastIndexOf("<TD>");
                sb.Insert(insertIndex, "</TR></TABLE>");
            }
            
            Clipboard.SetData(DataFormats.Html, sb.ToString());
        }
    }
}