I certainly wouldn't. I'd be the one still tied down calling 911 for you.
If, for argument sake, I was forced to depart in such conditions and lost it low to the ground I'm not wasting anytime with any restart. Pitch and trim min sink, fuel off, door unlatched, snug my belt (tell pax to also), radio mayday, mental prep for entry back into IMC and keeping my eye pealed in hopes I can make the impact survivable. You can stammer on all you want about how simple a restart procedures is, but IMO it's breeding false hope, poor mental prep, and will adversely affect how well you could be flying the airplane at this critical moment.
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Example. Engine loss 500 feet, 200 foot thick fog layer. Count to 5. Worst case that will be our freeze up time. Sink rate 1k. Look inside and find the pump. Unless you sit eyes closed in the cockpit regularly and flip the switches you will need do this. 5 seconds. Panic it doesn't restart. 3 seconds. Flip tanks. 2 seconds. Panic again, still no restart and you just went back in the soup. 5 more seconds. Ok 20 seconds so far, or 333 feet. You're 10 seconds from impact and still trying to restart. You might think you can do it faster, human physiology will disagree. This while your passenger is screaming OMG we are going to die and asking you all sorts of questions that you'll either attempt to ignore or take time to shut them up.
It's easy to think when there isn't a gun to your head. If procedures were so simple under the gun we wouldn't have need for things like auto feather. I mean all that is is pulling one leaver and flying the airplane. Don't see how anyone ever has a Vmc to their death. (Severe sarcasm)