Possibly if the wizard or witch doesn't know which house they belong in or about the houses themselves. They may be new to the wizarding world and not know much about each house, even if they were told before or prior to Sorting. They are still young and may not know who they are yet or what house they're in. They may choose a house they either don't belong in or because it's the same house as their friend(s) and might regret it later. As long as they know who they are and what house they belong in, they should be fine.
No any cultural influence I'm aware of, but based on free will. Students have free will to choose what house they should be Sorted into and belong in just like most people, especially Americans have free will in their everyday lives to be able to make their own decisions and choices.
Depends on the 11 year old. Some may not know who they're yet and confused about where they belong. They may be rash, impulsive, reckless, and act or speak before they think. Again, as long as they know who they are and what house they belong in, they will be able to choose the right house. It just requires knowing who they are, what they're like, and what house best suits their personality. However, some students may grow into different people than who they were as children. They may behave and act a different way than how they behaved and acted at 11 years old. They're still growing and learning, so their prone to personality changes as they get older. They may also choose what traits they value and what traits they want to have rather than what house they should be in. For instance, Peter Pettigrew wanted to be brave and courageous, but in reality, he was a coward and a true Slytherin.
Each student has free will in their Sorting, those that are chosen by more than one house that is. They can choose the house that best suits their personality and what house they will be the most happiest in. For Ilvermorny, students that are smart and wise would most likely be Sorted into Horned Serpent, adventurous in Thunderbird, kind and generous in Pukwudgie, and athletic and brave in Wampus. There's also how each statue reacts; the Horned Serpent jewel glows, the Thunderbird flaps its wings, the Pukwudgie notches an arrow, and the Wampus roars which is much more lively and animated than the Sorting Hat just talking in the students' minds. As for the Hogwarts Sorting, the students can choose what house they want to be in, as well, and what traits they value most. The Sorting Hat talking in the students' minds is really cool too.
🇺🇸25 Points for Horned Serpent!🇺🇸 SP
Mine is a Capuchin Monkey