I landed there once in my J3 Cub a few years back with wind coming from the right in the above photo, and had to taxi back to parking using the taxiway cleared of snow. The J3 is so light the wind blew the Cub 180 back facing the wind coming from the right. The Cub doesn’t have an electrical system, so had to shut off the engine, climb out and spin it around and then hand prop on the ice taxiway. Did that a couple of times until I had enough room to take off and go home. Skipped lunch with the gang at the restaurant there. Went back to the hanger and put skis on. Then landed on the snow below the taxiway as shown in the photo above. Much safer on skis landing on the snow. Just have to stay away from the docks since owners stir up the water somehow to keep ice away.
I think landing on the ice runway with gyro would be fine. Not sure about pre-rotating keeping the gyro stationary and straight for takeoff...