It should be the same, but it is not guaranteed, because it depends on implementation details of the type T.
Explanation:
Without a constraint to T, o1.Equals(o2) will call Object.Equals, even if T implements IEquatable<T>.
EqualityComparer<T>.Default however, will use Object.Equals only, if T doesn’t implement IEquatable<T>. If it does implement that interface, it uses IEquatable<T>.Equals.
As long as T‘s implementation of Object.Equals just calls IEquatable<T>.Equals the result is the same. But in the following example, the result is not the same:
public class MyObject : IEquatable<MyObject>
{
public int ID {get;set;}
public string Name {get;set;}
public override bool Equals(object o)
{
var other = o as MyObject;
return other == null ? false : other.ID == ID;
}
public bool Equals(MyObject o)
{
return o.Name == Name;
}
}
Now, it doesn’t make any sense to implement a class like this. But you will have the same problem, if the implementer of MyObject simply forgot to override Object.Equals.
Conclusion:
Using EqualityComparer<T>.Default is a good way to go, because you don’t need to support buggy objects!