I love the idea of function stacking, especially when it comes to purpose built structures.
You can use the normal heat of a greenhouse for lots of purposes anyhow. I am looking forwards to my polytunnel next year, not just for growing plants, but for the warmth for drying herbs and grains and seeds....Reasonably locally to me they use the heat in a polytunnel during the summer to dehydrate seawater to make sea salt.
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It's a good way of turning what would be an energy intensive process into a carbon neutral one.
I think I'd be somewhat wary of creating a death trap if the whole greenhouse became like an oven, and, as you say the plants and oven may not mix well. Maybe an oven within the structure though - you'd lose less heat to the surroundings for a start....