Global Configuration : Set Search Engine Friendly URLs to Yes.

@infograf768 please take another coffee and re-read the post

Search Engine friendly URLS already set to Yes.

Set to No
index.php?option=com_mytest&view=directory&Itemid=101

Set to Yes
index.php/directory?view=directory

It sounds like com_mycomponent missing the router, or the router missing RouterViewConfiguration
maybe can take as example com_content router or com_finder as very basic

so for your com_mycomponent and index.php/directory?view=directory it need:

$dir = new RouterViewConfiguration('directory');
$this->registerView($dir);

The component is missing Service/Router.php
Also had to register the router factory in services/provider.php

Had assumed that without the router the default behaviour would suffice.

The minimum router class which resolves the issue is below.
I assume for completeness best to uncomment the commented lines.
Also add a loop to run through the view layouts and register them dynamically - can then edit the views without having to manually add registerview lines.

`class Router extends RouterView
{
public function __construct(SiteApplication $app, AbstractMenu $menu)
{
//$this->registerView(new RouterViewConfiguration('directory'));

	parent::__construct($app, $menu);

	//$this->attachRule(new MenuRules($this));
	$this->attachRule(new StandardRules($this));
	//$this->attachRule(new NomenuRules($this));
}

}`

For correct work you need all 3:

$this->attachRule(new MenuRules($this)); // Search for correct Menu Itemid
$this->attachRule(new StandardRules($this)); // Parse/Build if menu exits
$this->attachRule(new NomenuRules($this)); // Parse/Build if  there no menu exits

Please close the issue if you have fixed your problem.