About 5-6 years ago I went to the tribologists at Mobil with a similar question. My question was, when using Delvac 1 in my Mercedes diesel if I needed to top up the oil, but Delvac 1 wasn't available, would it be better to use Mobil 1 15W-50 or Delvac 1300 15W-40?
Their team couldn't agree on an answer but all agreed there was NOT a problem. Some suggested that using Mobil 1 would provide the additional benifts of synthetic, while the other side felt that the additional protection of the CH-4 additive package was an advantage. Neither felt that there would be any serious compromise in performance even if the two were mixed in almost equal quantities and the properties would at least equal and probably exceed the properties of the "inferior" oil.
I do not know of ANY synthetics that does not claim to be entirely compatible with all conventional oils, but some synthetics claim they may NOT be compatible with other synthetics.
In my own experience mixing Delvac 1300 with Mobil synthetics, I found no clearly detectable increase in cold cranking speed and thus cold weather starting until the quantity of synthetic was about 50% and the quieting influence that synthetic exerts on the valve lifters (or followers) quickly diminishes once the synthetic concentration drops much below 70-75%.
As for starting in cold weather, most group III oils are considerably inferior to the best group IV oils. I played with mixing Mobil 1 0W-30 or 5W-30 with 15W-50, but quickly abandoned that as I don't need to start in weather below about -20 (F) and Mobil 1 15-50 allows that without playing with adding anything (I culd not detect any change in cranking speed) and with M-1 5W-40 or D-1 cranking speed and thus cold starting was even a little bit better.
Marshall