Yes, this is the procedure. I would miss my bidet if it went away. And the cold water doesn't bother me--it's rather bracing and refreshing!
The only thing I would change about mine is that I wish I could fine-tune the pressure dial. There's a very small range between "OFF" and "FIREHOSE"--but I have the basic, entry-level model.
Follow-up after using Magic Earth to navigate to an intersection up in the local hills: It worked, but I didn't like that it wasn't indicating street names in the read-aloud directions--just "turn left, turn right". That might be a must-have feature for me.
Thank you for bringing up the shopping cart litmus test. I had conceptualized something similar before encountering the idea online. I've always grabbed a shopping cart from the parking lot on the way in, and will often pull carts out of parking spaces and return them before I leave. I was delighted to discover r/CartNarcs, needless to say!
Just my luck: I re-watched this about three weeks ago. A week later I noticed that a local rep house is running a 4K restoration of it on their big screen.
Nicole Kidman in THE HOURS (2002)