No,, that'd would be dumber than a bag of hammers. Not to mention a complete waste of time.
If your serious about your engine, you're changing your
oil long before it get's dirty, therefore, and
oil in the cooler and lines, will soon blend with the new
oil, and I challange anyone to say they could tell there was "old" oil in the system.
I ran an Aviad pan, blending 11 qts with possibly 2 qts that is old, results in 13 qts. of beautiful oil protection.