Does Changing a Shared Awaited Task Affect Things Already Awaiting It

AwaitTest.cs

using System;
using System.Threading.Tasks;

namespace AwaitTest
{
    public class Program
    {
        private Task<int> _sharedTask;

        public static void Main(string[] args)
        {
            var program = new Program();
            program.Run().Wait();

            // Prints:
            // Result from Thread2: 2
            // Result from Thread1: 1
        }

        public async Task Run()
        {
            _sharedTask = Print1();
            var thread1 = Task.Run(Thread1);
            var thread2 = Task.Run(Thread2);

            await Task.WhenAll(thread1, thread2);
        }

        public async Task Thread1()
        {
            var result1 = await _sharedTask;
            Console.WriteLine($"Result from Thread1: {result1}");
        }

        public async Task Thread2()
        {
            await Task.Delay(1000);
            _sharedTask = Print2();
            var result2 = await _sharedTask;
            Console.WriteLine($"Result from Thread2: {result2}");
        }

        public async Task<int> Print1()
        {
            await Task.Delay(5000);
            return 1;
        }

        public Task<int> Print2()
        {
            return Task.FromResult(2);
        }
    }
}