It does currently happen. In Germany alone there are 3 rocket companies + 1 space vehicle based on governmental programs. You can ask chatgpt for other projects.
And yes, my pun which you didn't get just says: Building rockets isn't hard.
Even leaving aside the extremes of industrial espionage or "there's only so much you can learn from SpaceX TV", you can be sure that there are absolutely huge swathes of aerospace engineering education and commercially that are using a lot of SpaceX's work as a Cliff Notes of sorts to help improve their own odds.