With a concrete pond, there are at least 2 things to worry about; keeping some area ice free to avoid gasses building up (goes for any pond with fish), and avoiding ice pressure cracking the concrete. Having a hole in the middle of the ice, like you would have with an airpump or your deicer, solves the first, but not the second, it would not relieve all stress at the edge of the pond. You make a nice round hole in the ice, that does very little to weaken it or stop the expansion at the edges. The pressure goes around it and it still expands in all directions and could ruin the concrete.
You have to buffer at the edges, either with flowing water around the edge, or styrofoam or similar floating blocks that absorb the pressure. At the very least you have to "control' the icing, so outer edges slowly freeze over after the rest has frozen solid (and expanded already)
We learned this the hard way decades ago. cracked it twice when I was a teenager.
BTW, my father made a contraption to keep the pond "icefree" that defies imagination. I have to take a picture tomorrow and post it. He used a washing machine motor, put an excentric wheel on it, connected a huge wooden "bridge" that had a large styrofoam floater on one end. Then a cantiliver on the pond edge. As the excentric wheel turned,
what it did was push that floater slightly up and down nonstop, making waves. Genius.