I don't think what you're trying to do is possible cause the component won't know when to, and when not to log errors.
What you can do is, load the JLog class and tell your component to log all errors, like so
JLoader::register('JLog', JPATH_LIBRARIES . '/joomla/log/log.php');
'text_file' => 'com_bestia.log.php'
Then, let's say (for example) you want to check if a file exists and want to log an error if it doesn't exist:
// import the file
JLog::add('File does not exist', JLog::WARNING, 'com_bestia');