The __init__ method in PyTorch layers sets up the parts of the model that learn, like weights and biases. While __init__ itself doesn't produce metrics, the way you define layers affects the model's ability to learn well. So, metrics like loss and accuracy during training show if your layer setup is good.
For example, if you forget to initialize a layer properly, the model might not learn, and loss won't improve. So, the key metrics to watch after defining layers are training loss and validation accuracy.