We have overwritten Magento\Catalog\Block\Product\ListProduct to be able to check if displayed products match a certain category.

We have set the preference in our module /etc.di.xml like this:

<preference for="Magento\Catalog\Block\Product\ListProduct"
            type="Vendor\ModuleName\Block\Catalog\ListProduct"/>

And we have overwritten the ListProduct Class like this:

namespace Vendor\ModuleName\Block\Catalog;

class ListProduct extends \Magento\Catalog\Block\Product\ListProduct
{
protected $_customerSession;
protected $categoryFactory;

public function __construct(
    \Magento\Catalog\Block\Product\Context $context,
    \Magento\Framework\Data\Helper\PostHelper $postDataHelper,
    \Magento\Catalog\Model\Layer\Resolver $layerResolver,
    \Magento\Catalog\Api\CategoryRepositoryInterface $categoryRepository,
    \Magento\Framework\Url\Helper\Data $urlHelper,
    array $data = [],
    \Magento\Customer\Model\Session $customerSession,
    \Magento\Catalog\Model\CategoryFactory $categoryFactory
) {
    $this->_customerSession = $customerSession;
    $this->categoryFactory = $categoryFactory;
    parent::__construct(
        $context,
        $postDataHelper,
        $layerResolver,
        $categoryRepository,
        $urlHelper,
        $data
    );
}

protected function _getProductCollection() {
...
}
...

Problem:

The problem is that this class overrides ListProduct on all category pages except on search result page, where it still uses Magento\Catalog\Block\Product\ListProduct and not te overwritten one.

How can we overwritte ListProduct class for search results page?