It sounds like your budgie has a unique personality! If your budgie is sitting still for long periods and "posing" like a statue, it could be a sign of comfort and trust in its environment. Budgies sometimes exhibit this behaviour when they feel safe and at ease. However, if the stillness seems excessive or unusual for your bird, it might be worth checking for any signs of illness, such as lethargy, puffed-up feathers, or changes in eating and drinking habits.