If I need to scrape ice off from windows or remove snow from the car, then I let it run time I'm removing icy stuff as otherwise french quality product freezes windows from water vapour which comes from my exhaling, well, it still does that, but not quite as badly.
If there is no ice, then there is no this issue either and I can just drive off.
Oil is thick when cold, it will not create such good protective film to parts (despite there being oil pressure, it just is not reaching so well), so no high revs, no high load until engine is warmed. There is also possibility to crack head of diesel if pushing too early, especially easy with 6 cylinder small diesels, turbo bearings are also something to worry about, 150 000rpm on syrup kind of lubricant might not be the best thing to do.
New oil is more forgiving, good quality fully synthetic oil is more forgiving, but in ready built world there is no rush, so why to do oil quality testing at the early morning?
Also there is fuel economy point, cold run enrichment is making mixture richer and not only at idle, but if you put your foot down it will be lot richer mixture and again lot more consumption than with warm engine, also it is lot of unburnt fuel going trough the motor, which in turn washes oil from cylinder walls, which again causes more wear to engine.
So being gentle first, teasing, slowly building up the heat before pushing bit more and more is way to go as is with many, many, other wonderful things.
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