Patriots were far more hated than either the chiefs or the cowboys. People are just annoyed with the chiefs right now because they’ve won too much and we’re seen them too much recently, and the recent Taylor swift affiliation and media overexposure doesn’t help them to become more likeable to sports fans lol. But the pats, especially in the 2010s, were hated because of their dominance, the mean face of

, their pretty boy image( Danny amendola, Tom Brady and Jimmy garropolo were in the same team at one time) their establishment image( I mean they were no underdogs/people’s champs) their consistency, their invincible aura, how inevitable their wins/titles seemed to be, and for many people they were the poster boys of white privilege, the entitlement and power. Many players on that team were suspected of being trump/maga supporters. People found them easy to dislike. Not to mention that they were involved in many controversial scandals when the ubiquitousness of social media in our everyday lives began to take off.
Cowboys were universally liked outside NFC east rival fanbases Like the eagles, giants, etc (reminder it was the 1990s so well before social media and even the internet. Society, the culture, how people communicated, socialized, thought, got their news, formed opinions, etc was night and day compared to right now)
2020s Chiefs are Seen as annoying because the truth is that nobody wants to see a Team winning for long. People get bored and annoyed easily in the social media era.
2010s era Pats were viscerally hated, people legit prayed for them to lose every year. Only people in New England or New England transplants fukked with that squad. They were pretty much a love them or hate them franchise in that era. The hate for the patriots went beyond sports, it was also cultural , political, racial, social.