In the UK your dishwasher is typically connected only to the cold water intake, so that’s not a problem unless you have multiple showers in your house… that said, water heaters are often limited to either heating or hot water (not both at the same time), but that’s not an issue in practice since you’re not going to be using the hot water for long periods of time.
I’m pretty sure it’s impossible to keep everything arranged “correctly” geographically while keeping the proportions correct and having them be regular shapes. If anything it’s impressive that you can get it as close as this.