No not at all. Maturity comes with age not multiple dogs. Your puppy is acting young because she is a playful youthful dog. Full of fun and energy.
Not quite sure what you mean by immaturity. For instance my 18 month old husky is tons of fun and silly playfulness. She plays with toys, balls, squeaky animals etc.
She doesn’t always behave right and disobeys me sometimes but that is due to being a difficult breed. Siberian Huskies take a tough owner to be the leader sometimes. But back to you. I’d give your puppy a couple more years to worry about how mature he is.