Does Java's stream filter create a new list or point to the original list?

I read the answers to this question: Will Java 8 create a new List after using Stream "filter" and "collect"?

But it did not quite match my experience... I think. And I'm just wanting to make sure I'm clear on the situation.

Consider the following code (which can be run on https://www.tutorialspoint.com/compile_java_online.php):

import java.util.Arrays;
import java.util.List;
import java.util.ArrayList;
import java.util.stream.Collectors;

public class ArrayPlay {

    public static class Person {
        private String first;
        private String last;
        private int id;
        private State state;
        private boolean thing;

        public Person(String first, String last, int id, boolean isThing) {
            this.id = id;
            this.first = first;
            this.last = last;
            this.thing = isThing;
        }

        public void setFirst(String first) { this.first = first; }
        public String getFirst() { return first; }

        public void setLast(String last) { this.last = last; }
        public String getLast() { return last; }

        public void setId(int id) { this.id = id; }
        public int getId() { return id; }

        public void setIsThing(boolean thing) { this.thing = thing; }
        public boolean isThing() { return thing; }
        
        public void setState(State state) { this.state = state; }
        public State getState() { return this.state; }

        @Override
        public String toString() {
            return String.valueOf(id) + ": " + first + " " + last + 
                (thing ? " and has thing" : "") + 
                (state != null ? " and is from " + state.getStateName() : "");
        }
    }

    public static class State {
        private String stateName;
        private String stateCode;
        private String country;

        public State() { }

        public String getStateName() { return stateName; }
        public void setStateName(String name) { this.stateName = name; }

        public String getStateCode() { return stateCode; }
        public void setStateCode(String code) { this.stateCode = code; }

        public String getCountry() { return country; }
        public void setCountry(String country) { this.country = country; }

        public static State newStateCode(String code) {
            State state = new State();
            state.setStateCode(code);
            return state;
        }
        
        public static final class Builder {
            private State state;
            
            private Builder() { state = new State(); }
            
            public static Builder aState() { return new Builder(); }
            
            public Builder withName(String name) { state.setStateName(name); return this;}
            public Builder withCode(String code) { state.setStateCode(code); return this;}
            public Builder withCountry(String country) { state.setCountry(country); return this;}
            
            public State build() { return state; }
        }
    }

    public static void main(String[] args) {
        List<Person> people = new ArrayList<Person>() {{
            add(new Person("ffej", "llensog", 13482839, true));
            add(new Person("knarf", "knarfson", 39940000, false));
            add(new Person("Mary", "Contrary", 82233888, true));
        }};

        System.out.println("\nSet State for filtered Persons");
        List<Person> hasThing = people.stream().filter(p -> p.isThing()).collect(Collectors.toList());
        System.out.println("Before setting state.");
        people.forEach(p -> System.out.println("people: " + p));
        hasThing.forEach(p -> p.setState(State.Builder.aState().withName("Alabama").build()));
        System.out.println("After setting state.");
        people.forEach(p -> System.out.println("people: " + p));
    
        hasThing.forEach(p -> System.out.println("hasThing: " + p));
    }
}

The result I expect is the following:

et State for filtered Persons
Before setting state.
people: 13482839: Daphne llensog and has thing
people: 39940000: Daphne knarfson
people: 82233888: Daphne Contrary and has thing
After setting state.
people: 13482839: Daphne llensog and has thing
people: 39940000: Daphne knarfson
people: 82233888: Daphne Contrary and has thing
hasThing: 13482839: Daphne llensog and has thing and is from Alabama
hasThing: 82233888: Daphne Contrary and has thing and is from Alabama

But the actual result that I'm getting is:

et State for filtered Persons
Before setting state.
people: 13482839: Daphne llensog and has thing
people: 39940000: Daphne knarfson
people: 82233888: Daphne Contrary and has thing
After setting state.
people: 13482839: Daphne llensog and has thing and is from Alabama
people: 39940000: Daphne knarfson
people: 82233888: Daphne Contrary and has thing and is from Alabama
hasThing: 13482839: Daphne llensog and has thing and is from Alabama
hasThing: 82233888: Daphne Contrary and has thing and is from Alabama

For some reason, when I run the setState on hasThing's forEach, it is also modifying the objects in people. And this doesn't make sense to me if filter(...).collect() creates a new list. Is there a good explanation for this action that I'm not understanding?