static attribute not handled by csv importer

Question

I created a static product attribute with corresponding source model:

/* @var $installer Mage_Catalog_Model_Resource_Setup */
$installer = $this;
$installer->startSetup();
$installer->getConnection()->addColumn(
    $installer->getTable('catalog/product'), 'my_attribute', array(
        'type'    => Varien_Db_Ddl_Table::TYPE_INTEGER,
        'comment' => 'Delivery Point ID'
    )
);
$installer->getConnection()->addIndex(
    $installer->getTable('catalog/product'),
    $installer->getConnection()->getIndexName(
        $installer->getTable('catalog/product'), array('my_attribute',)
    ),
    array('my_attribute')
);

$installer->endSetup();

$installer->addAttribute(
    Mage_Catalog_Model_Product::ENTITY,
    'my_attribute',
    array(
        'group'                   => 'General',
        'sort_order'              => 20,
        'type'                    => 'static',
        'label'                   => 'My Attribute',
        'input'                   => 'select',
        'source'                  => 'my_module/entity_attribute_source_mysource',
        'global'                  => Mage_Catalog_Model_Resource_Eav_Attribute::SCOPE_GLOBAL,
        'visible'                 => true,
        'required'                => true,
        'user_defined'            => false,
        'visible_on_front'        => true,
        'unique'                  => false,
        'is_configurable'         => false,
        'used_in_product_listing' => true,
    )
);

From the admin panel everything works fine, but when I use the csv import, no data is written to the column my_attribute in catalog_product_entity table.

Here is the csv:

sku,_store,_type,_attribute_set,name,description,short_description,my_attribute,status,visibility,weight,price,tax_class_id,_product_websites
test,,simple,Default,Test,Test,Test,"My Value",1,4,0,0,0,base

The source model gives the correct values, otherwise the validation of the csv file would fail.

Is this case supported by the Mage_ImportExport module at all?