Sql-server – Query has where (a = a) or (b = b) – the 2nd part causing index scan. Full example included

I've been trying to figure out why this query (on integers) is using an index scan when both values (the original table, and the table its looking up in) are integers.

The first part is used to fill a table with values.

The second part is the search query that I'm battling with. If you run the execution plan on the query, you will see that even though there is an index on the intcol, and the #temp table is of type int, it still uses an index scan and scans all 298 000 rows.

The problem is the query that I'm using, it has
where
(a = a)
or
(b = b)

When i take out the "or (b = b)" then it does not do an index scan.
But I need the "or (b == b)" to have this complicated query work.

Implicit Conversions that cause Index Scans

    CREATE TABLE dbo.TestImplicitConverts
(
  RowID int NOT NULL IDENTITY (1, 1),
  BigIntCol bigint NOT NULL,
  BitCol bit NOT NULL,
  CharCol char(10) NOT NULL,
  DateTimeCol datetime NOT NULL,
   DecimalCol decimal(10, 2) NOT  NULL , 
  FloatCol float(53) NOT  NULL  ,
  IntCol int NOT NULL,
  MoneyCol money NOT NULL,
  NCharCol nchar(10) NOT NULL,
  NumericCol numeric(10, 2) NOT NULL,
  NVarchrCol nvarchar(50) NOT NULL,
  RealCol real NOT NULL,
  SmallDateTimeCol smalldatetime NOT NULL,
  SmallIntCol smallint NOT NULL,
  SmallMoneyCol smallmoney NOT NULL,
  TinyIntCol tinyint NOT NULL,
  GUIDCol uniqueidentifier NOT NULL,
  VarcharCol varchar(50) NOT NULL,
  CONSTRAINT PK_TestImplicitConverts PRIMARY KEY CLUSTERED (RowID)

 )
GO

-- Create nonclustered indexes on all columns to test implicit conversion affects

CREATE NONCLUSTERED INDEX IX_TestImplicitConverts_BigIntCol ON dbo.TestImplicitConverts (BigIntCol);
GO

CREATE NONCLUSTERED INDEX IX_TestImplicitConverts_BitCol ON dbo.TestImplicitConverts (BitCol);
GO
CREATE NONCLUSTERED INDEX IX_TestImplicitConverts_CharCol ON dbo.TestImplicitConverts (CharCol);
GO


CREATE NONCLUSTERED INDEX IX_TestImplicitConverts_DateTimeCol ON dbo.TestImplicitConverts (DateTimeCol);
GO

CREATE NONCLUSTERED INDEX IX_TestImplicitConverts_DecimalCol ON dbo.TestImplicitConverts (DecimalCol);
GO

CREATE NONCLUSTERED INDEX IX_TestImplicitConverts_FloatCol ON dbo.TestImplicitConverts (FloatCol);
GO

CREATE NONCLUSTERED INDEX IX_TestImplicitConverts_GUIDCol ON dbo.TestImplicitConverts (GUIDCol);
GO

CREATE NONCLUSTERED INDEX IX_TestImplicitConverts_NVarcharCol ON dbo.TestImplicitConverts (NVarchrCol);
GO

CREATE NONCLUSTERED INDEX IX_TestImplicitConverts_RealCol ON dbo.TestImplicitConverts (RealCol);
GO

CREATE NONCLUSTERED INDEX IX_TestImplicitConverts_SmallDateTimeCol ON dbo.TestImplicitConverts (SmallDateTimeCol);
GO

CREATE NONCLUSTERED INDEX IX_TestImplicitConverts_SmallIntCol ON dbo.TestImplicitConverts (SmallIntCol);
GO

CREATE NONCLUSTERED INDEX IX_TestImplicitConverts_IntCol ON dbo.TestImplicitConverts (IntCol);
GO

CREATE NONCLUSTERED INDEX IX_TestImplicitConverts_MoneyCol ON dbo.TestImplicitConverts (MoneyCol);
GO

CREATE NONCLUSTERED INDEX IX_TestImplicitConverts_NCharCol ON dbo.TestImplicitConverts (NCharCol);
GO

CREATE NONCLUSTERED INDEX IX_TestImplicitConverts_NumericCol ON dbo.TestImplicitConverts (NumericCol);
GO

CREATE NONCLUSTERED INDEX IX_TestImplicitConverts_SmallMoneyCol ON dbo.TestImplicitConverts (SmallMoneyCol);
GO


CREATE NONCLUSTERED INDEX IX_TestImplicitConverts_TinyIntCol ON dbo.TestImplicitConverts (TinyIntCol);
GO

CREATE NONCLUSTERED INDEX IX_TestImplicitConverts_VarcharCol ON dbo.TestImplicitConverts (VarcharCol);
GO



INSERT INTO dbo.TestImplicitConverts
(   BigIntCol, BitCol, CharCol, DateTimeCol, 
    DecimalCol, FloatCol, IntCol, MoneyCol, NCharCol, NumericCol, NVarchrCol, RealCol,
    SmallDateTimeCol, SmallIntCol, SmallMoneyCol,  TinyIntCol, GUIDCol, VarcharCol)
SELECT a.number, a.number%1, CAST(b.name AS CHAR(10)),  DATEADD(ms, -1*a.number, GETDATE()), 
   a.number, a.number, a.number, a.number, CAST(b.name AS NCHAR(10)), a.number, b.name, a.number,
    DATEADD(ms, -1*a.number, GETDATE()), a.number, a.number, a.number%255, NEWID(), b.name

FROM master.dbo.spt_values AS a
CROSS JOIN master.dbo.spt_values AS b
WHERE a.type = N'P'
  AND a.number < 1000
  AND b.name IS NOT NULL;
GO
ALTER INDEX ALL ON TestImplicitConverts REBUILD;
GO

 create table #temp(myint int, my2ndint int)
 insert into #temp(myint, my2ndint)
 select 800,140



while @@rowcount>0
begin
    insert into #temp(myint,my2ndint)
    SELECT intcol, intcol
    FROM    TestImplicitConverts
    WHERE   
       (
       intcol in (select myint from #temp  )
         and 
       intcol not in (select my2ndint from #temp)
       )
    or (
       intcol in (select my2ndint from #temp  )
          and 
       intcol not in (select myint from #temp  )
       )

 end
 drop table #temp