There may be a few things at play here and certainly it’s worth following the assessment route for things like FASD and ADHD.
I recognise some of the behaviours in my DD who was older than your little one. Things like apparently not caring about her toys and possessions - being destructive. In my daughters case it wasn’t that she didn’t care, she was very used to not having anything that she would break, lose or destroy her things so no one could take them away from her. If her anxiety levels are high she will often break something precious to her still. It looks like wilful destruction but it’s actually a sign of distress.
Same with emptying toiletries etc - it’s a sensory thing, watching the liquid pour out, painting with it etc. We’ve had problems in school this year with my DD smearing soap on bathroom mirrors, again for her it’s a sign of distress and anxiety.
The whirlwind moving from one thing to another may relate to raised cortisol levels or hyper vigilance, which is a key trauma response in children and adults - moving from one thing to another because they feel threat or danger.
It’s also worth really thinking about the impact of shame - not the feeling of having done something wrong that helps us correct our behaviour, shame as it relates to trauma is a core sense that I as a person am bad. Children who experience trauma can really carry this feeling deeply, which inhibits them being able to relax, be themselves, accept love and care from others, try new things, own up to things they’ve done wrong. The fear that you’ll see the “thing” that makes them bad is overwhelming and impacts behaviour in all kinds of ways.
Dan Hughes writes so well about shame it’s worth reading up on.
I’d be really focusing on building your relationship with her, make that the absolute focus of your interventions rather than behaviour management. Pick your battles with her and provide lots and lots of sensory based activities. Things that helped my DD were playing in water - I still pop her in the bath if she’s stressed - making shapes in shaving foam on the windows, play doh, baking, music, dancing, jumping, digging in the garden, playing in the park (things like swinging, climbing, hanging on bars have been shown to help with self regulation). Most of all recognise her behaviour as communication and spot signs she’s becoming dysregulated - I’d find 5 minutes with me looking at a book together timed well would help her before she got to be dysregulated and tipped over.
Regular schedule, routine, good sleep (12 hours sleep for mine when she was 6) all play their part. It’s hard, but her nervous system seems to be working overtime, and calming that will help her regulate.