Hot water without a nearby tank can come out cold for several seconds. It’s not instant in most US homes unless the plumbing is near the tank. In my house (small footprint) one bathroom would have fast warm/hot water to a bidet. The rest would take 20-30 seconds like the sink and baths (for the full bath bathrooms).
Indeed, most places I've lived in the US had a 20 to 30 second delay until the water came out hot. I once installed a small under-the-sink electric water heater for a bathroom that took over a minute to heat up (and never really got hot) and I've never talked with anyone else with something similar, so I don't think it's common.
