'pitch' is just a term that we use to mean playing area; i.e football pitch
The Scottish call the playing area the 'park'
USA its just called the 'field'
No correct or incorrect version, just different for different parts of the world.
'Pitch' doesn't (at least in UK) relate to pitching in the sense of a boat pitching from side to side. It's purely a different word for field.
Hope this helps.
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