My suggestion would be that the screen time has more to do with the problem, than attachment parenting, (not that I know what it is, btw.) So much time disengaged from life, she is missing the opportunity to learn to entertain herself. I have found this too. Every child is different, of course, but I have seen a great increase over the years, of children who don't know how to play imaginatively. 4yr olds who do what you describe, pick up toy, shake it or bang it and then put toy down.

Since we don't watch any screens in my house, I figured I had to be Mr. Dressup, myself. Do you remember that show? He spent a great deal of time, playing. He would play with toys and describe what he was doing. Other shows like that too, Sesame street, The Friendly Giant, Mr Rogers, etc. (yah, I'm old) would all show scenes of kids just playing and interacting together.

I would go into the playroom or sit at the table and play. I might talk to the kids about something I was doing, but I might just as well talk to myself, as I was playing. It takes a bit of practise for me at this age, lol. I was modelling the behaviour I wanted to see in the kids. I have also increased the time we spend reading. We talk about what the people in the books are doing and I will often refer back to the books. It allows the kids to use their memories and imagination. Practise makes perfect!

Redhead's suggestion is good too, having an older child who knows how to play would help. But if that isn't an option, you could try being the older child.