I know that, if I part type a name in the directory search field then press enter it will search and list those that match as per attached screen shot but our users will not know intuitively how to do this so is it possible to add a search button next to the search input field as per my attached picture (screenshot).
look forward to your thoughts on this for the next release?
overriding template works as follows
If in future any template is modified in this plugin and you already overridden that template in your child theme then your template will be used instead of this plugins one. So if any new option or anything added in this template that you will not get until you add that in your template manually.
Currently no plan to change in directory.php but you should keep an eye when update this plugin in future. Most of the time any template change is mentioned in changelog. If is better always read changelog before update (for any plugin)