Do you think tourneys held in Westeroes are similar to having fights at fighting pits in Meereen?
Other than them being ritualized forms of combat, they’re very different.
In Westeros, the knights fight in armor. The goal is to test their skill against others, not to kill. While deaths do happen, that’s not the aim and the killer has a tarnished reputation for the rest of their life (Otho Bracken, Maekar Targaryen). Meanwhile, in Meereen the aim is to watch people and animals kill each other, to the point they’re uninterested in Westerosi style tourneys: “Ser Barristan suggested a tourney instead; his orphans could ride at rings and fight a mêlée with blunted weapons, he said, a suggestion Dany knew was as hopeless as it was well-intentioned. It was blood the Meereenese yearned to see, not skill. Elsewise the fighting slaves would have worn armor.” —Dany II ADWD
In Westeros, while usually technically anyone can fight in a tourney (though tourneys like Ashford was restricted to those with knighthood), they’re really elite games. They’re supposed to own their equipment, which includes at least one horse and some kind of armor. Kings, princes, and Great Lords/heirs fight in tourneys, because it’s for the higher classes to hone their martial skills during peacetime. In Meereen, the fighters of the pits are all slaves (they don’t even own themselves) who are given room/board/weapons and sold by the nobles. Some were raised to be pit fighters, while others were captured and sold into slavery, indicating it’s a form of punishment sometimes. Even when slavery is partly outlawed, the pit fighters all seem to be freedmen who know no other trade, and certainly no noble is going to risk death for a fight. There are even people who didn’t agree to die they set animals on (like Penny and Tyrion who were just mock jousting), while tourneys are only for people who have of training. There are even “rounds” so the fighters don’t get too outmatched.
The point is, the fighting pits are where nobles and other freeborn go to watch slaves and animals fight and die. The tourney is where nobles and others go to watch other nobles show off their fighting skills during peacetime. Hence the Meereenese considering a tourney boring, and the Westerosi considering the fighting pits sickeningly violent.