Many years ago, when I lived and worked on the third largest island in the Mediterranean (Cyprus), my house had a tankless gas water heater. It was great. Sure it had a pilot light but I guess today, had units would have more modern igniters. Water entered a core of a coiled copper tube. When water flowed, gas would light in the center of the copper coil. Faster the water flow, the higher (and hotter) the flame. Worked great.Showers, washing machine, washing dishes (by hand) were no problems.
Don't know what they are like today, but back then, it was great.
Don't know what they are like today, but back then, it was great.