This idea would see a few buttons or someone being seen to sort the bank.
Many things such as elite dungeons, boss drops, kingdom of miscellanea etc cause items to be thrown into the bank willy nilly. It makes me very demotivated personally to sort my bank and fix it.
It would be nice to be able to do something quick and easy to filter/sort, i.e. searching "grimy" and having an option to add all results to tab 3 etc.
Only historic likeness to this I can find is people asking to make bank sorting bots, so I haven't seen a suggestion to cover this historically.