Me, me! I'm a big play advocate here. My daughter has limited screen time and a lot of toys that foster imagination and creativity. She's 9 1/2 (well, if you ask her, she'd say 9 and 2/3, which is extremely accurate! :) ) It amazes me to watch her on her own or with certain friends (usually younger friends or homeschool friends). They are so imaginative, and immerse themselves in hours and hours of deep play, both indoors and out. My daughter also likes to invent things as part of her play. She has made two outdoor "swings" of a sort, one involving an old hose, a fence, and a hill, and the other a rope, a branch, and a handle from an old, broken ride-on toy. Those two inventions have been used by her and neighbour kids for hours upon hours. I love what all the free play time has done for her.
But put her together with her age mates from public school, and the play is very different. It's usually screen based or activity based (such as swimming or hot tubbing or trampoline--not that these things are bad). She says they don't know how to play when she tries.
I took her out of school last spring (the spring of grade 4). Although there were many reasons (good timing, her desire to homeschool, my desire to homeschool, my concerns about academics, and the fact that I saw the light/joy-of-learning fading in her eyes), one of the reasons was that I wanted more for her at age 9. I didn't want her butt planted in a desk all day. I wanted her to be able to explore and play more.
Like another poster mentioned, I'm big on Last Child in the Woods and Free Range Kids.
On the other hand, I believe in in-depth learning, and I don't think she was getting it. It was grade four, and they were endlessly reviewing how to subtract with borrowing. She wanted to pull her hair out. And when learning new concepts, they had to copy definitions from the board, definitions written in that adult, wordy style that is incomprehensible to most kids. She didn't understand. I suspect most of them didn't. I prefer a more meaning-based style of learning. So, yes--play and academics can certainly go together. I believe there is a balance. And I believe you shouldn't turn young kids off of learning by making it too repetitive or boring... so academics can sometimes be a part of their play. (Free, child-led play is absolutely essential too, of course!)