Is all domestic water consumption sensitive to price control?

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An Estimation of Residential Water Demand Using Co-Integration and Error Correction Techniques (2007, methodology): “Martínez-Espiñeira and Nauges (2004) found also that the short-run elasticity fell around the value of -0.10, using a Stone-Geary demand specification.”
The determinants of residential water demand: empirical evidence for a panel of Italian municipalities (2006, unknown): “( 2002 ), Martinez-Espineira ( 2002 ), Martinez-Espineira and Nauges ( 2004 ).”
Effect of price information on residential water demand (2006, unknown): “…and water use, evidence of low price elasticity of demand abounds.1 Recent empirical analyses have also found evidence that, within price ranges observed, there is a large amount of water use under which demand is insensitive to price (Gaudin et al., 2001; Martı́nez-Espiñeira and Nauges, 2004).”
An Empirical Survey of Residential Water Demand Modelling (2008, unknown): “Martínez-Espiñeira and Nauges (2004) also found that water demand is minimally affected by weather as consumption approaches some base (non-discretionary) level of use.”