Thank you for your observations and for your question. The current relationship between the Media/Assistant screen and the WordPress Media/Library screen was developed back in the days of WordPress v3.3, before the new Media Manager was introduced. I made the decision very early on not to add any enhancements to the Media/Library submenu page. When WordPress v3.5 introduced the “Media Manager Modal (popup) Window” (MMMW) I undertook the effort to add enhancements like advanced filtering to it. The Media/Library Grid was added in WP 4.0, and it uses the same code base as the MMMW; I carried the enhancements over to the Grid view.
The Media/Assistant lacks a “grid view” because I (like other plugin developers) have found the MMMW code base very difficult to work with. I have long hoped for better documentation and more thought for extensions to come out, but have not seen anything along those lines yet. I regret that MLA is unlikely to have a grid view in the foreseeable future.
I understand your point about the confusion caused by the current situation and you make a good point. I might be able to add a list/grid toggle to the Media/Assistant submenu page that gives an easy way to switch between Media/Assistant list view and Media/Library grid view while suppressing Media/Library list view. If that would be of interest to you, let me know.
I will leave this topic unresolved until I have completed my investigation and made a decision. Thanks for your understanding, your patience and for your interest in the plugin.