Sorting another parameter than menu_order

Many thanks for this helpful plugin!

I was wondering if it’s possible to sort another parameter than the menu_order via drag and drop.

I am asking because I have have three different post types (publication, activity, project) and I like all posts from these three post types to appear on one page on my website ordered by an overarching menu position like overarching_menu_order. Therefore, the first step was to merge all the posts of these post types on the same admin screen (lets call it »dashboard post view«). I did this (see code here) but because the menu order on each post type page (publication, activity, project) should not be affected by the order on the dashboard post view I need the parameter overaching_menu_order.

So would it be possible to sort a custom parameter like overaching_menu_order with your plugin? Which customizations would be necessary?

Thanks in advance!

https://ww.wp.xz.cn/plugins/simple-custom-post-order/