Searchable select field shows incorrect search results

I added a select field to my form like this:
Select::make('product_id')
  ->label('Product')
  ->relationship('productSku.product', 'name', function (Builder $query, Get $get) {
    $mealTypeId = $get('../../meal_type_id');
    $query->byMealType($mealTypeId)->orderBy('id');
  })
  ->afterStateUpdated(fn (Select $component) => $component
    ->getContainer()
    ->getComponent('dynamicSkuFields')
    ->getChildComponentContainer()
    ->fill())
  ->afterStateHydrated(function (Set $set, Get $get, $record) {
    if ($record) {
      $productSku = ProductSku::find($get('product_sku_id'));
      if ($productSku) {
        $set('product_id', $productSku->product_id);
      }
    }
  })
  ->preload() 
  ->required()
  ->dehydrated(false)
  ->live()
  ->columnSpan([
    'md' => 5,
  ])
  ->searchable()
  ->hidden(function (Get $get, ?UserOrderItem $record) {
    $status_id = $get('../../status_id');
    return $record !== null && $status_id !== 1;
  }),


When I then search for a string, results are shown for records that do not contain the string added to the input field, which is not what I would expect to happen. Is this happening due to the complexitty of my Select field? Or is this standard searchable select field behaviour?
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