Upvote:2
The majority of people who travel within a visa-free zone directly go through the border control without having to answer more than few questions (this is coming strictly from personal experience, I will search for some actual numbers and add them to the answer). Whether you will fall under more scrutiny is something that no one here will be able to answer as it depends strictly on your personal circumstances, but it is highly recommended to carry all required documents (the same needed for visitors visa application) with you for that eventuality. You are already planning to do that.
There is one thing you can do to have peace of mind at the border crossing - apply for visitors visa before you travel. Having that will mean that your situation was already assessed and will make you even less likely to have any problems with border control than an average citizen from Chile.