Search Field widget default value and action redirect hooks

[vayurobins]

Prerequisites

• I have searched for similar feature requests in both open and closed discussions and cannot find an existing request.
• I have verified that the feature is still missing from the latest stable versions of Elementor or Elementor Pro.

What problem is your feature request going to solve? Please describe..

I am using the new Search Field Widget and have come across two issues, that could use some improvements.

1. The search form has hard coded the home_url() URL in the action attribute. This is a problem, because we use Polylang to display content in different languages and the home_url() will not consider this. I could then use the get_home_url() filter, but then that would hit all page loads, not just in the search form field.
2. On the search result page, I think it would be nice user experience to have the search form field populated with the search criteria, if there is one.

Describe the solution you'd like.

1. I would like to have a filter hook, where I could modify the action URL in the search form. Something like this:

$this->add_render_attribute( $this->element_attribute_ids['form'], [
	'class' => 'e-search-form',
	'action' => apply_filters( 'search_field_widget_action_url', esc_url( home_url() ) ),
	'method' => 'get',
] );

2. For populating the search field with a previously search term, we could have some similar filter hook:

$this->add_render_attribute( $this->element_attribute_ids['input'], [
	'id' => "search-$id",
	'placeholder' => esc_attr( $settings['search_input_placeholder_text'] ),
	'class' => 'e-search-input',
	'type' => 'search',
	'name' => 's',
	'value' => '',
	'autocomplete' => $this->get_autocomplete_state(),
	'role' => 'combobox',
	'aria-autocomplete' => 'list',
	'aria-expanded' => 'false',
	'aria-controls' => "results-$id",
	'aria-haspopup' => 'listbox',
        'default => apply_filters( 'search_field_widget_default_value', ! empty( $_GET_['s'] ) ? sanitize_text_field( $_GET_['s'] ) : '' ),
] );

Describe alternatives you've considered.

No response

Additional context

No response

Agreement

• I agree that my request may be closed without action if it doesn't meet all the requirements.