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Do you think yours are just rotting off then?
You can eat winter squash whenever you like really but..... they will be like courgettes. For true winter squash flavour and the ability to store them,leave them on the vine till it withers,unless frost or mildew start in which case pull them then. When you gather them in they need to be cured,outside in the sun is best but if not possible do it in a warm room, once you can no longer make a mark with your fingernail in the rind they are cured.
Dr Squash! :)