to record / stream the least you need is a phone to point at your tv but if you want better quality you need a capture card. now i believe the 360 can output hdmi so any hdmi capture card would be fine for you (personally recommned avoiding elgato products) but in general composite/component capturecards are cheaper but the quality is gonna be a tad worse. along with a capture card youll need obs to stream/record with it
i know its made that way because i remember there being a thread about it and they asked for emote suggestions and i suggested my Nuuskis and hopsuSleep emotes.
here is the twitch account https://www.frankerfacez.com/channel/speedruncom_ffz
found the thread https://www.speedrun.com/the_site/thread/4dilr
there is a twitch account with some name that has gotten all these emotes on it and the website uses that to decide which emotes exist
ive nevear heard of that before and honestly sound dumb to "conquer" games. "exploit every little thing" why? and the three other things you mentioned would usually just be generic explanations of 100%
i finally watched school-live! after putting it on hold for years and it was way better than i thought it could be