Fan theory answer to fan ask:
MBTI short version for each boy based on in game answers where they could be found (copied quotes from the mbti short results https://www.16personalities.com/ that seemed to fit in but not going to paste the whole thing, these are easily searchable if you want to indepth read them)
Some of them were kind of surprising results and some were right in line with what id thought but its totally not cannon, just answered the short mbti using cannon lines and interpretations of events/actions so don't feel like this is immutable:
"While they may be perceived as calm, reserved, or even shy, Mediators have an inner flame and passion that can truly shine. Comprising just 4% of the population, the risk of feeling misunderstood is unfortunately high for the Mediator personality type – but when they find like-minded people to spend their time with, the harmony they feel will be a fountain of joy and inspiration."
(Note: Nate is on a fine line between P and J, he could probably swing to either)
"Forming around two percent of the population, they are oftentimes our politicians, our coaches and our teachers, reaching out and inspiring others to achieve and to do good in the world. With a natural confidence that begets influence, Protagonists take a great deal of pride and joy in guiding others to work together to improve themselves and their community."
"Many famous people with the Entertainer personality type are indeed actors, but they love putting on a show for their friends too, chatting with a unique and earthy wit, soaking up attention and making every outing feel a bit like a party. Utterly social, Entertainers enjoy the simplest things, and there’s no greater joy for them than just having fun with a good group of friends."
"Making up only four percent of the population, there are just enough Entrepreneurs out there to keep things spicy and competitive, and not so many as to cause a systemic risk. Entrepreneurs are full of passion and energy, complemented by a rational, if sometimes distracted, mind. Inspiring, convincing and colorful, they are natural group leaders, pulling everyone along the path less traveled, bringing life and excitement everywhere they go. "
"The Logistician personality type is thought to be the most abundant, making up around 13% of the population. Their defining characteristics of integrity, practical logic and tireless dedication to duty make Logisticians a vital core to many families, as well as organizations that uphold traditions, rules and standards, such as law offices, regulatory bodies and military."