Anyone who doesn't have a need to know. And any mention of it increases the likelihood of that happening. Some anonymous internet meme called Q is the last person that should be championed for asking questions about classified national security systems, or especially provided any information in response.
If he is fake, then no harm. He has helped rally the troops behind Trump for a while. I guess a big disillusion would be a bad thing though.
But if the information he is sharing is real, then there is no harm in sharing it. You would be like a little kid complaining that his brother is up after after his bedtime because he is busy putting a fire out in the kitchen.