With the addition of the burst fire turret statistic (THANK YOU!) it'd be nice to see an inventory ordering mode based on burst DPS as well!
Another QoL feature in the inventory view would be to allow more refined searches on actual underlying turret type, e.g.:
Set inventory view to order by DPS/slot
Type "Artillery" in the search field
See only Cannon/Mortar weapons, ordered by DPS/slot
Alternatively, allow two search criteria to be chosen in order (two drop-down lists in the top-left of the inventory view):
Set primary filter type to DPS/slot
Set secondary filter type to Type
See all turrets, first sorted by DPS/slot, then by Type, giving each type of turret sequentially listed in descending order of DPS/slot.
Finally, it would be nice to be able to sort weapons by range, since (at least I find) manually aiming weapon groups works best when grouped by range.