Cannot update taxonomy custom field via REST API (Wpapi) – WordPress

I’ve created a custom taxonomy "vendors" in the following way:

// Register Custom Taxonomy

add_action( 'init', 'vendor_taxonomy', 0 );

function vendor_taxonomy()  {
$labels = array(
    'name'                       => 'Vendors',
    'singular_name'              => 'Vendor',
    'menu_name'                  => 'Vendors',
    'all_items'                  => 'All Vendors',
    'parent_item'                => 'Parent Vendor',
    'parent_item_colon'          => 'Parent Vendor:',
    'new_item_name'              => 'New Vendor Name',
    'add_new_item'               => 'Add New Vendor',
    'edit_item'                  => 'Edit Vendor',
    'update_item'                => 'Update Vendor',
    'separate_items_with_commas' => 'Separate Vendors with commas',
    'search_items'               => 'Search Vendors',
    'add_or_remove_items'        => 'Add or remove Vendors',
    'choose_from_most_used'      => 'Choose from the most used Vendors',
);

$capabilities = array(
    'manage_terms' => 'manage_woocommerce',
    'edit_terms' => 'manage_woocommerce',
    'delete_terms' => 'manage_woocommerce',
    'assign_terms' => 'manage_woocommerce',
 );

$args = array(
    'labels'                     => $labels,
    'hierarchical'               => false,
    'public'                     => true,
    'show_ui'                    => true,
    'show_admin_column'          => true,
    'show_in_nav_menus'          => true,
    'show_tagcloud'              => true,
    'show_in_rest'               => true,
    'query_var'                  => true,
    'capabilities'               => $capabilities,


);


register_taxonomy( 'vendors', 'product', $args );
register_taxonomy_for_object_type('vendors', 'product');
}

Inside the taxonomy vendor I created a custom field ‘vendor_email’ in the following way:

<?php

// Add Vendor Email

add_action('vendors_add_form_fields', 'vendor_email_field_wp_editor_add', 10, 1);

function vendor_email_field_wp_editor_add() {
?>   
<div class="form-field">
    <label for="vendor_email"><?php _e('Email', 'wh'); ?></label>
    <input type="text" name="vendor_email" id="vendor_email">
    <p class="description"><?php _e('Enter Vendor email', 'email'); ?></p>
</div>
<?php
}

add_action('vendors_edit_form_fields', 'vendor_email_field_wp_editor_edit', 10, 1);

function vendor_email_field_wp_editor_edit($term) {

$term_id = $term->term_id;

$vendor_email = get_term_meta($term_id, 'vendor_email', true);
?>
<tr class="form-field">
    <th scope="row" valign="top"><label for="vendor_email"><?php _e('Vendor Email', 'email'); ?></label></th>
    <td>
        <input type="text" name="vendor_email" id="vendor_email" value="<?php echo esc_attr($vendor_email) ? esc_attr($vendor_email) : ''; ?>">
        <p class="description"><?php _e('Enter Vendor email', 'email'); ?></p>
    </td>
</tr>
<?php
}

add_action('edited_vendors', 'vendor_email_field_wp_editor_save', 10, 1);
add_action('create_vendors', 'vendor_email_field_wp_editor_save', 10, 1);

function vendor_email_field_wp_editor_save($term_id) {

$vendor_email = filter_input(INPUT_POST, 'vendor_email');

update_term_meta($term_id, 'vendor_email', $vendor_email);
}

The custom field ‘vendor_email’ is registered for REST API usage in the following way:

add_action( 'rest_api_init', 'register_rest_field_email' );

function register_rest_field_email() {
register_rest_field( 'vendors',
    'vendor_email',
    array(
        'get_callback'    => 'email_get_term_meta',
        'update_callback' => 'email_update_term_meta',
        'schema' => null
    )
);}

function email_get_term_meta($object) {
return get_term_meta( $object['id'], 'vendor_email', true );}

function email_update_term_meta( $value, $object, $field_name ) {
if ( ! $value || ! is_string( $value ) ) {
    return;
}
return update_term_meta( $object->ID, $field_name, $value);}

With Wpapi I can correctly retrieve via API call to /wp-json/wp/v2/vendors/ all the data, also the custom field ‘vendor_email’. When I do a post or a put it works correctly on all the standard fields like name or description of the taxonomy "vendors".

But when I try to do a post or a put to create or update the custom fields ‘vendor_email’ it does not work. It seems that it actually cancel the value if already set

I guess the problem is somewhere in the email_update_term_meta() function. But in any case I share here also the function that I created to update "vendor_email" via Wpapi

function updateVendor(vendorId, newVendorEmail){
const WPAPI = require('wpapi');
const wp = new WPAPI({ 
    endpoint: 'http://localhost/fooshi/wp-json',
    username: 'xxxxxxxxx',
    password: 'xxxxxxxxx'
});
wp.vendors = wp.registerRoute( 'wp/v2', '/vendors/(?P<id>)');
return wp.vendors().id(vendorId).update({
    vendor_email: newVendorEmail
}).then(function(res) {
    return res.id;
}).catch((error) => {
    console.log("Response Status:", error);
});

}