If you're giga desperate for instant boiling water, there are taps that can give it you basically instantly. They are veeeeeeery expensive though. As a cheaper option, why not just buy a kettle? I get that they're not as common in America but they're surely not that expensive?
I pour boiling water into an empty pan, give the pan a little time to heat up, and then just throw in the pasta or whatever I'm cooking. It's definitely been quicker than just putting cold water into a pan and letting it all heat together.
I do that all the time, sometimes when I making sauces they trend to become dry, so I have the kettle boiling to be able to add more boiling water to the sauce and do not lost too much temperature.
I got one of the beautiful kettles from ebay on sale for like $10, but the point I'm making is that stoves should have an option like this already built in so we don't need extra appliances.