There are some jQuery operations that can be either sync or async, e.g. $.ajax. If we apply error logging in the sync case, that means we will report errors multiple times and might even report errors that the application code handles safely. Made-up example:

try {
    $.ajax( '/endpoint.php', { async: false } ).done( function ( data ) {
        if ( !data ) {
            throw new Error( 'API call failed' );
        }
    } );
} catch (e) {
    alert( 'API call failed, please try again later' );
}

This error should not be reported since the application code already deals with it.

Other potentially problematic methods beyond $.ajax are $.event.add for synthetic events, and $.ready when the page already finished loading.