I know that it's more performant to use single-quoting versus double-quoting when accessing/processing string values, but I was wondering if there's any performance benefits in omitting the quotations entirely.
$a = array('table' => 'myTable');
$table = $a['table'];
versus
$a = array(table => 'myTable');
$table = $a[table];
Yes. In your second example the PHP processor checks if "table" is defined as a constant before defaulting it back to an array key, so it is making one more check than it needs to. This can also create problems.
Consider this:
const table = 'text';
$a = array( table => 'myTable', order => 'myOrder' );
$table = $a[table]
Now PHP interprets your array as $a[text] which is not what you want.