At the time ,my wife was driving 8 miles to work and 8 miles home. That was not enough to get the oil hot. Her previous car the Elantra which I drive now, had no fuel dilution issues with that same drive, but it's mpfi.That sounds more like a short trip problem rather than a DI or oil problem.
She works from home now.
But the Mazda id not driven at least 20 miles continuous, will have winter fuel dilution.