Just to clarify. On a new installation (of v2.0.1) there is no “Key dropdown menu”. Putting “_wp_page_template” in the “Key” textbox and something in the “Value” text area, and hitting the “Add Custom Field Button” will cause the drop down box to appear with “_wp_page_template” as a choice.
However, while that was my first attempt, I really don’t think that’s enough information to get Custom Fields working (they don’t appear in the Key/Value/Action table on the page editing screen), and it’s not the answer to the question here. [And since I don’t need Custom Fields for anything else at the moment, I’ll ignore that problem.]
THIS question, as I understand it, is how to get the page template menu to appear (on the right hand side of the page editing screen). The answer is relatively simple. Create a new template, my_template_name.php, in the theme directory AND be sure it has the following lines at the top:
<?php
/*
Template Name: My Template Name
*/
?>
The documentation IS clear, see
https://codex.www.ads-software.com/Pages
but may not be “heard” correctly by those who are new to the whole process.
See also
https://www.ads-software.com/support/topic/52511