Yes you save over the constant on off and pilot, the question that people just need to keep in mind is the savings worth the extra price? It’s like solar cells, no one really talks about cost to return, they just hype the immediate savings number. And I know back in the day when Tankless was just getting popular and I trained with Takagi a good part of the profits they talked about on a system installation was the long term servicing of the units with descaling and repalecement of heat exchangers which at least then were fairly thin copper.
i don’t have gas so the electric usage was substantial