For those players that don't play Summoner's Rift, featured game modes are the only time to get champion mastery and crafting chests. Winning also gets you keys to open those chests, although you can stock up beforehand on those.
So naturally, those players would tryhard the hell out of those modes since they're only around for a limited time each week. Weekends can also be a busy time for people as well, further shrinking the window of opportunity to get all these neat things that ARAM and Twisted Treeline have zero access to.
So you have players coming from normals or ranked who are just looking to have fun getting matched with non-SR mode players there to tryhard all weekend long to pick up loot they couldn't get before. Friction was bound to happen.