It would help with the just preventing too much need to press (> or <) too often and would proabably help a bit with organization…
also in advanced inventory ablity to add a filter based on the inventory main tabs.
Collapse? You mean as in toggling for each section in inventory to show its contents or no?
yes
for filter based on main inventory use category filter in adv inventory
and you can press tab to quickly navigate in categories of main inventory