"Far more" is relative, to say the least. We're talking about the amount of water that fills a shower pipe - very little - and unless you're only showering once a week it's not that big of a change.
I've just started looking into either getting a tank-less water heater in the master bathroom or a recirculating system to save water. I like that the recirculating system would help with the entire house, not just that one bathroom, but it is looking to be quite expensive and wasteful of energy, unless we can do something like have switches in the bathrooms and kitchen to manually turn on the recirculator for a few minutes before use instead of running the water for a few minutes.
Fossil gas tankless units are nice because they can be installed on the exterior of a home and are maintenance free, but emit CO2 and can be expensive depending on your gas costs (they’re better for seasonal dwellings imho). Ideal combination is resistive instant heaters at points of use with a heat pump water heater for the whole dwelling.