Do the set and get accessor of a property (regular or auto-implemented) and indexer also have a stack-frame on the stack when executed?

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C#

memory-management

Do the set and get accessor of a Property (regular or auto-implemented) and Indexer also have a Stack-Frame on the Stack when executed?

Since a method (instance or static) has a Stack-Frame on the Stack when executed, I wonder if the same applies to the set and get accessor of a Property (regular or auto-implemented) and Indexer also have a Stack-Frame on the Stack when executed?

I was told the set and get acessors respresents "methods" for setting the value of a field (instance or static field) and retrieving the value of a field (instance or static field).Thus, me assuming that the both accessors (set and get) of a Property and Indexer to have a Stack-Frame on the Stack when executed. Can anyone confirm this for me or correct me if I'm wrong to assume this?

Bottom is a simple example of accessing the set and get accessor of an instance Property:

public class Program
{
    public static void Main(string[] args)
    {
        //Instance of class Person created
        Person person1 = new Person();

        //Accessing the set accessor of instance Property Name
        person1.Name = "John";

        //Accessing the get accessor of instance Property Name
        Console.WriteLine(person1.Name);
    }
}

public class Person
{
    private string name;

    public string Name { get { return name; } set { name = value; } }
}

What I have tried:

Unable to find answers to this online.