If you were trying to mix the hot and cold with that branching to a tankless, it probably wouldn't work right. Water will take the path of least resistance, and there may not be enough to trigger it to turn on, or if it does, it might overheat because of the lower flow. If you wanted to make it work and to temper the outlet, making all of the water warm verses hot or cold, you'd install a tempering valve after the tankless' outlet, and adjust the tempering valve to your desired outlet temp. Note, though, that the average tankless, because of internal restrictions, may ultimately reduce the total volume available in the building, which is probably not something you want to do. While hot water is a luxury, if the structure wasn't designed for it, it could be a major problem to introduce it later.
What might work if you want hot in various places is to install point of use heaters. The sum of them may mean your available power needs would go way up, and that would bring even significantly more costs.
If you just wanted something like a hot shower, there are systems that heat the water just for the shower - my sister has one in her flat in England that does that. It also has an internal pump to boost the pressure at the showerhead.