Request1: faster work thanks to sorting sets
I know, the main focus of this plugin is on the overviews in the back-end, and not sort or filter.
But sorting is essential for a faster overview and it would be a great improvement when we are able to set the default sorting preference.
that means: orderby and order. (set 1+ column and ASC/DESC for each Column Set)

i know that the plugin already saves the last sorting preferences of a user on the overview. but i wish if i click reset, that the default ordering is back to the one i need, not the default wp ordering.
that feature combined with he already existing Column Sets would give us great combinations.
then you can switch from one Set to a other to have different columns and different sortings customized to the need you wish. (then more columns you have, then more you can profit from this feature)
if there is a fear that this is to complicate for default user than made a checkbox at settings page to enable that feature.

Request2 : save actual ordering for frontend
Admin Columns is great to display posts with all necessary Columns that would be needed for a custom ordering, the thing Admin Columns cant: is to use that advantage and give me a benefit for the frontpage too.
with the possibility to set/save the actual order at backend (one that is able to work with hierarchical types)
i would get something that is usable for frontend after save. because i can use something like orderby “ordering” at frontend.
(integrate something like “Intuitive Custom Post Order” into this plugin, but with click to save not automatic save)