I believe the Ordered portion of an index scan is just indicative of whether or not your query is ordered by the index key column(s).
Say you have something like this:
-- Table Definition for reference
CREATE TABLE [HumanResources].[Employee](
[EmployeeID] [int] IDENTITY(1,1) NOT NULL,
[NationalIDNumber] [nvarchar](15) NOT NULL,
[ContactID] [int] NOT NULL,
[LoginID] [nvarchar](256) NOT NULL,
[ManagerID] [int] NULL,
[Title] [nvarchar](50) NOT NULL,
[BirthDate] [datetime] NOT NULL,
[MaritalStatus] [nchar](1) NOT NULL,
[Gender] [nchar](1) NOT NULL,
[HireDate] [datetime] NOT NULL,
[SalariedFlag] [dbo].[Flag] NOT NULL,
[VacationHours] [smallint] NOT NULL,
[SickLeaveHours] [smallint] NOT NULL,
[CurrentFlag] [dbo].[Flag] NOT NULL,
[rowguid] [uniqueidentifier] ROWGUIDCOL NOT NULL,
[ModifiedDate] [datetime] NOT NULL,
CONSTRAINT [PK_Employee_EmployeeID] PRIMARY KEY CLUSTERED
(
[EmployeeID] ASC
)WITH (PAD_INDEX = OFF, STATISTICS_NORECOMPUTE = OFF, IGNORE_DUP_KEY = OFF, ALLOW_ROW_LOCKS = ON, ALLOW_PAGE_LOCKS = ON) ON [PRIMARY]
) ON [PRIMARY]
GO
use AdventureWorks
go
select *
from HumanResources.Employee
This would be a clustered index scan with Ordered = False. But modify it to look like this:
use AdventureWorks
go
select *
from HumanResources.Employee
order by EmployeeID
You will then have Ordered = True because you are ordering by the index key column.
But if you have something like this (ORDER BY on a non-key column):
use AdventureWorks
go
select *
from HumanResources.Employee
order by ContactID
Then Ordered = False because the sorting isn't based on the index key column(s).