Freshman summer internships?

Hello, hope everyone is doing well. 

I am a senior in high school and will have had 3 (possibly 4) internships by the time I enter college. 2 were wealth management, one was economic consulting. I say possibly 4 because I may get another internship for this summer, just to have some extra cash. 

3 may seem like a lot for a high schooler but they were all super laid back and didn’t give me much stress. I made money while doing them so I thought why not kill two birds with one stone. 

My question lies in the utility of my high school internship experience. Can I leverage these experiences to gain opportunities during my freshman year of college? The firms I worked at are not household names, although one was the biggest non-brand-name PWM firm in my state, so there wouldn’t be much value in the actual name recognition. 

I see a lot of people saying (not sure if this is true or not) that you NEED some type of LMM PE or IB internship during your freshman summer of college to be ready for actual recruiting in later years. Firstly, is this even true? I’d want to enjoy that last summer somewhat, doing my own thing. But secondly, could my past experiences give me a leg-up in getting that freshman year internship? Because if so, I will try harder then how I would if it wasn’t the case. 

Thank you for your time.