Scrapping the car seems a bit over the top to me. Unless you've got
other stuff wrong that you haven't said.
Have read your previous thread and this one. From what I read, you've
replaced loads of stuff and the car runs well, after initial start up, and
pulls like a train.
All you've said you've got wrong is a rattly start from cold and white smoke
until it warms up. You haven't said that you are losing coolant.
You've done a paperclip test and have no faults.
White smoke on a cold start is perfectly normal. You're just evaporating the water
and vapour in your exhaust system.
Rattly start up could just be your hydraulic lifters taking a bit of time to fill with
oil, especially on a cold morning when the oil is cold and thicker. You've probably
used the correct oil, but you don't know what the previous owners used or
how often. The lifters could have all sorts of cr@p coated inside of them.
The car is 10 years old and no doubt has a few miles on it. It just sounds a bit
like me, when I get out of bed in the morning, stiff and crotchety.
I doubt your head gasket has gone if you're not using coolant, you're not getting
water in the oil, and you're not overheating. Especially as it's pulling like a train
after it's initial early morning attack of the grumps.
Try cleaning up some of your sensor cable connections. After 10 years I would
expect some corrosion that is giving some higher resistance and incorrect readings
to your ECU. Try the ECU engine temp sensor on the back of your head.
Have you fixed the stripped thread on your IACV mount yet? Mine was the same
when I first came to it, due to some ham fisted mechanic used by the previous
owner. I fixed mine by filing a flat on a thin nut, so that it fitted in the narrow
space between the Throttle Body and the IACV mounting face, and replaced the
fixing with a nut and bolt.
To confirm your head gasket is ok, get a compression test done.
Unless you've got other faults, I reckon scrapping it is a bit ott.