Open compost pile for wildlife

I'm going to make an open compost pile to attract wildlife. I'll use wooden posts/decking to make what will look like 4 pallets in a square.
Can I treat it like my current do-it-all compost bin - fruit/veg, grass, leaves, etc? I turn every few days? Or should i just put leaves and grass in the wildlife one?
Can I treat it like my current do-it-all compost bin - fruit/veg, grass, leaves, etc? I turn every few days? Or should i just put leaves and grass in the wildlife one?
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The second heap is just that. A pile of grass cuttings and autumn leaves builds up over a year and we have wooden back and sides to prevent escape. In winter I turn it, breaking up lumps and mixing old and new material. I like to do this several times but age and health can limit the frequency. It turns into wonderful compost, we have all sorts of beetles and bugs in it, masses of worms. It is never covered or watered.