I've seen those articles about snow cover, sunlight penetrating ice, and fish kill - it's definitely a consideration. However, I think there are things you cannot control - like ice clarity for one - that can have as big an effect.
We've had ice form that was crystal clear and allowed us to see our fish at the bottom of the pond all winter long. Obviously if we can see through it, the sunlight can penetrate. Other years the ice is completely opaque, so snow over the top would change nothing. And snow isn't always "removable" either, even when it's on a completely frozen pond (which is the only pond anyone should be attempting to remove snow from). Wet snow, snow followed by rain, snow in warmer weather followed by a cold snap... so many things can make snow difficult or impossible to move. Having spent a good deal of my life shoveling snow in WI and IL, I can tell you - "snow" is not a singular concept! The first question we always ask when someone is done shoveling is "how was the snow?" The answers range from powder to cement!
The danger from snow cover and fish kill is from algae and other plant growth dying underwater and the organic matter decaying which consumes oxygen. I wonder how many garden ponds really have enough algae or plant growth underwater that could have that big of an effect? And being able to remove a lot of the organic matter prior to winter has to help, too, which wouldn't happen in the large, natural ponds that are frequently the subject of these articles.
Good topic to think about
@Redbird ! For the record - we leave the snow on the pond. We do put up a temporary fence though, so the dogs don't forget the pond is there and walk on it. We had one fall through the ice one year and have been vigilant ever since. Snow can cover a pond that isn't completely frozen.