I have found googling around some attempts to make it work, and even there is a discussion on the topic here “IKEA Tradfri Button – help needed”, with no success so far, so I decided to investigate a bit myselft and it looks like the remote is using Zigbee group and maybe scene commands to control the lights directly. If it is like that, there is no way to make the remote send anything to the ST hub.
So the brief answer is that it looks like it won’t work. Will be happy if somebody comes with a solution.