These are not the relevant questions to ask about the kinds of programs you mentioned.
All of the ones you have listed are considered to be pay-to-play programs. The residential ones are $4,000 to over $5,000, and the JHU option is over $3,000 for your child to sit in his room during the summer for hours a day.
Admissions offices at elite schools generally do not look favorably on these kinds of programs. They don’t require any creativity — they are predesigned programs that don’t differentiate an applicant in a meaningful way — and they show privilege because the family is able to spend many thousands of dollars while other students are working, doing independent projects, or pursuing interests locally. Also, some colleges may interpret summer participation at a competitor college as meaning that college is the student’s first choice, and be less likely to admit the student.
Some college counselors recommend not including any pay-to-play programs like you’ve mentioned on a college application at all because they can be more of a liability than an asset. There are very small handful, like MIT’s RSI program, that are free to the small number accepted. RSI would have a meaningful positive impact on an application; nothing you have listed would so the answer to your questions for ALL of their programs is NO and NO.
All that said, pay-to-play programs can have value to a high school student even if they aren’t helpful for admissions. The questions you should be asking would include things like, “Will my student gain insight into a major/career path to see if he wants to continue,” “Will my student get a taste of college life in a way that will inform decisions in the future,” “Will my child have fun and make new friends,” “Could my student get a similar experience with this field for less money and locally?”
If the answers to questions like these are along the lines of, “My son is so interested in XYZ field and he can’t get enough exposure to it in school or locally, so he is excited to explore it more and make some new connections along the way,” then one of these programs might make sense.
But if your goal is to do something attractive for college admissions, then look elsewhere. Look for something unique so that it (or something like it) couldn’t easily be on many other applications. Or get a job — colleges appreciate students who have proven that they can work hard outside the classroom and who understand the value of paid work. Or pursue his interests in a way that doesn’t require spending money. If he is interested in sustainability, then volunteer at a nature center; if he loves tinkering with computers, then see if a local library/church/synagogue might have a need for his skills. Or show that he cares about the world beyond himself by impacting his community in some way.
Again, I am not saying the programs you listed are bad because they can be fun and interesting to a student while helping them refine their goals. They aren’t the only way to do that, and they rarely make a significant positive impact on admissions, though.
The JHU program requires a teenager to spend big chunks of every summer day alone in a room, staring at a computer screen. If this is what your son enjoys and how he wants to learn, then go for it.