I'm not even going to research this one, I'm just going to say "yes". The coolant capacity won't be that much higher than a smaller engine, (no, it's not double), and 1kw is rather high when it comes to coolant pre-heaters.
It's rather unfortunate that I don't park closer to the house, else I'd do something similar. I park about 30 feet away across the driveway.
Short answer - Yes.
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