Excellent thread
The drawer empyting, pulling apart displays in passing could be considered destructive if there's little positive interaction with the activity - maybe due to frustration, concentration of play, communication difficulties, anger, engaging attention.
Good thread here
Role play & discovery play see upturned, emptied drawers & hurried gathering of resources - knocking things out of the way in that process.
Modelling good behaviour as Heidi's given ideas for & social learning theory may help with others, a
pdf from Hull.ac.uk
Book tearing or paper shredding play is a huge sensory experience - the audible
rip of paper, the control of shredding & separation, the smell, texture, sight & knowledge of accomplishment - but disfigures what we know is information - sometimes valuable, sometimes not so -
book tearing search
Throwing pdf is an excellent read
Photographing constructions / crafts if models are displayed in public reach is a work around or procedure that can safeguard children's self worth/value/esteem. And acceptance, that displayed resources & equipment are a risk for destruction helps everyone know that in that event, soloutions are possible or have already been found.
If you've identified a particular set of drawers that are emptied, would a temporary change of content help awareness of what a drawer does/its role in your setting? Mini road map lining & cars maybe in a contained activity, if it attracts greater attention taking the drawer out to empty it more appropriately may assist learning. Or maybe larger labelling images to help know what's inside.
Talking lids/labels/voice pads or similar, stuck to the front may distract attention from emptying - self recording or maybe pre-recorded 'What's inside this box today .. Rooooar

. A way to broaden storage box/drawer use & awareness in the setting could be a
talking photo frame, adapt it to use images of your own resources and where they can be found.
Maybe move things around a little if you find the room has become less engaging.
Let us know how things go xx