She is 4.
She is young.
This is Preschool age. They are not rocket scientists about adult expectations of decorum or neatness or ideals.
Sure, teach her things about living environment. But she is 4, thus any learning curve about it, will be, per her age and her cognition and motor skills etc. A 4 year old does not have the same priorities as an adult, nor like an older child.
Then there are age phases as well, per emotions and cognition and communication and even their own "preferences" and taste, changes too.
Thus, just because she is a hurricane of a child now, that does not mean, it is permanent nor how she may be all of her life. It is now. A young child thinks about the "now." Not about future tenses.
I have kids that are now 6 and 9. They have their own chores and their own ways of "cleaning." It is not *my* way... but they in their own age and respective to their own ages... they may clean and tidy up, as they see fit or are capable of. Then I also help them... or teach them, or coax them too, and I will tell them things like "Hey, good job at cleaning!" Then if I think they need a "tip" from me, I tell them "Hey, Mommy has a good tip for you next time you tidy up.... " and then I explain it to them and I ALSO ask their opinion on it. ie: "Do you think Mommy's cleaning tip, makes sense to you?" Then that way, I see *their* age related perspective on it. But I am just generally glad, that they are glad to tidy up and "help" Mommy... and keep "their" home, tidy. I don't expect it to look like a museum & I do not expect them to do it JUST like me... because, I just want them to learn, to be self-reliant and to "like".... keeping their home, well kept. Per their own, ability. When I encourage them... it also gives them an incentive, to maintain their chores etc. But if I were to convey to them that they have to do it JUST like me, then well... any kid or adult would get irked and not want to do it... because, NO one, can do cleaning PERFECTLY enough. So therefore, I give my kids compliments on their ability to do it, and thus, it gives them a sense of being "proud" of doing it.
Then that way, my kids AND I, reach a level of satisfaction, about it.
That, encourages the child to learn... the concepts of respect and neatness and just everyday, things we need to do.
And YES, a child needs to have a sense of their own "space." And of their own belongings etc. But for me, I do not "battle" with my kids about it. As I converse with them, about their space, I see their own "logic" about why they have things in a certain place and how they THINK they did clean.... to the best of their ability. The main thing to me, is that they try THEIR best. And per age, their ability to do so, increases. Again, expecting age appropriate, ability for things like this.
It is a continuum. How they clean now, will vary and change, per age and ability. And in their basic understanding of it.
No adult I know... has been the same way all their lives since they were Toddlers. We all, change and in our style of "cleaning" too. So keep in mind, your daughter is now 4. They are a rock collecting moss. And no human or child, is static. We all change and in our abilities to "clean."
Honestly, I would not fret about it.
She is 4.
And she has all of childhood, to "learn" about cleaning/respect/tidyness etc. With Mommy's help.
No 4 year old, can clean an entire room... much less do it just like their Mommy would. They are not us, and we are not them.
My kids at that age, they didn't clean as.... well, as they do now. And my kids are 6 and 9, and I still help them or give them cleaning tips. I don't expect them to know all about it or to do it like an expert.
They have their own ways too. And their own space. And it is fine.
No battles.