You're still wrong. A data generator is a program that runs on some computer. Programs are strings with lengths. If you'd like to use a purpose-built computer

You're still wrong. A data generator is a program that runs on some computer. Programs are strings with lengths. If you'd like to use a purpose-built computer or decoder for each output, then you need to include the complexity of the computer or decoder in the compressed size. Otherwise you could write a decoder such as "when given any input, output the contents of wikipedia" and claim that it compresses a certain text to 0 bytes.