Hi,
what you want to do is simply not possible. The date selector uses an open source calendar implementation internally. When this calendar is initialized for the first time, it stores ‘today’ and does not update until the whole thing is shut down.
I made my own date selector some time ago (main intention was to get the dates localized), that uses the same base implementation but updates ‘today’ every time the display is updated. As i use the same base implementation it looks like the Ignition component, so feel free to try it.