These scripts are pretty much just a way to use existing layer selection functionality that is blocked in certain keyboard layouts. It's all just scripting listener scripts...
Except for
Select Next Layer (invisible or not).jsxandSelect parent group.jsxwhich add new functionality. Note that the advanced folder has a slightly more advanced version of theSelect parent group.jsxscript that can select multiple parents if the starting point is you have multiple layers selected inside separate folders.
Aside from the obvious, the "advanced" scripts also consider each group a separate scope. For example if you select two separate groups and run Select Children.jsx, it selects the child layers inside both groups.
Multi-group scope example:
