Disclaimer: jokes.
Unarmed: As a kid, your parents enrolled you in martial arts lessons. Or bullies used to beat you up. Or both. Either way you've developed an unhealthy obsession with punching people. You've always dreamt of being a professional fighter but the simple truth is, you're just not built for it. Veronica is your absolute favorite character and you'd marry her if you could. Also, you'll probably go to jail one day, either for getting into a fight or for domestic violence.
Melee: You're a Skyrim player. You've always been a Skyrim player. You'd much rather be playing Skyrim. But you don't, possibly because you've played that game far too many times and decided you needed a change. So, instead you decided to turn Fallout into Skyrim. One has to admire your consistency.
Thrown: You don't exist. This is no one's favorite. Who are you trying to fool?
Small guns: You're boring. You're so boring people would likely prefer to talk to a boiled potato because it's more interesting than you. In a world full of crazy possibilities and sci-fi weapons you decided to play mil sim Number 457. You're very likely a casual that inspires nothing but contempt in the hearts of old Fallout players. You don't really care though since they're on their deathbeds anyway.
Big Guns: You're slightly less boring. Slightly. There isn't anything that adventurous about your choice, but at least you have more personality than an NPC, so congratulations. Big guns players usually play massive hunks built like Terminator. That's their way of coping with the fact that in real life they're built like Ben Shapiro and can't lift a paper sheet.
Explosives: You have such a fascination with the BOOM! that you don't really mind using the least practical kind of weapon. Which means you never outgrew middle school. And that's admirable, and slightly concerning.
Energy Weapons: You are old. So old you probably piss dust. Or just a massive contrarian. Because the last time Energy Weapons were any good was 1998. You stubbornly ignore the fact that your favorite weapons keep getting nerfed and disrespected with every new game, that they look like someone glued together a bunch of pieces of scrap found in a dumpster behind No-Bark's shack, and that nobody really uses them anymore because it makes you feel like you're the true fallout fan, you, not all those filthy gun casuals.
Have a nice day