Yes, I can confirm the same as @Robert and @Minthyuyu have said . Putting the veggies into fridge is a complete waste of time as they become unusable for cooking.
We are asking for a better inventory and storage system since end of last year, see here: Make Zois inventory larger & easier to handle (select from inventory, not take out every single item to use it)
And I agree on the recipies: these should go up to level 10 if there are 10 levels of cooking. Does not make any sense that it ends at 5. And also I would wish that we would be able to use more ingredients for the dishes. But this only really makes sense once there is a proper storage / inventory system. At the moment this is just painful to handle.