If to connect via phone native menus there is one additional message that the internet is not accessible via this network,
Trying to push the limits of App Inventor! Snippets, Tutorials and Extensions from Pura Vida Apps by Taifun.
When I'm connecting to access pint using phone's wifi settings, it connects (status bar icon the same as in the picture above) just additionally notification message pops up that there is no internet connection (logically as it is ESP). that is only one difference... but 10.1.0.1 opens and I can proceed with ESP WiFi setup.