I am using 4.5.1.

You're right, the class jquery.q/extends jquery stuff was a hack to get q to appear. Now that I've added the dummy @class jQuery, that works correctly with just a member tag

Code:
/**
 * @class jQuery
 * jQuery library is documented here <http://jqapi.com> <br />
*/
...
/**
 * @member jQuery
 * @chainable
 * jQuery selector cachin
 * @param {String} selector any jQuery selector string
 * @param {Boolean} [clear=false] force the cache for this selector to be cleared and re-read from DOM
 * @return {jQuery}
*/

As for the Global vs global thing - I just used the uppercase format in my tags b/c it looked cleaner, in the output - it's not a real class.