For those still interested /awake, here's what I was given today by a contact at APHA:
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I have now received final confirmation that there have been no changes on the decision of considering park deer as wild animals, and therefore the hunting or culling of these animals are exempt from the requirement of a WATOK licence.
Some animals, such as deer, may live in an enclosure such as a large estate or park. If they are hunted, the fact that they are enclosed does not prevent them from being classified as wild game. Game animals with sufficient grazing to enable them to live throughout the year without supplemental feeding are also considered to be wild. All these animals must be killed by hunting to be eligible for human consumption. Wild game animals killed in other ways, e.g. by road traffic, cannot be supplied for human consumption.
So to try and sum up, if deer are enclosed and routinely fed to "finish" the animals then they would be farmed. The killing of these animals for human consumption would require a Certificate of Competence.
However if enclosed or free to roam and only fed when it is required for welfare purposes - usually during the winter months but not exclusively so - then they can be considered wild if hunted and no CoC or WATOK licence is required.
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So it would seem that the NGO mag got things slightly sideways.