My girlfriend's 2013 sonata also has it. My 83 Caprice with a carburetor that needs a new choke thermostat coil also has some soot in the tailpipe but not as much.
Until I replace the choke stat if I start it in minus twenty to pull onto the street and let my girlfriend's car out of the driveway, when I come back twenty minutes later to restart my car i have to turn the key on and wait almost a minute for the choke stat to slowly open up the choke and start properly or it will try to flood itself. So running rich from that put some soot in the tailpipe but not as much as the properly running gdi 2.4.
Until I replace the choke stat if I start it in minus twenty to pull onto the street and let my girlfriend's car out of the driveway, when I come back twenty minutes later to restart my car i have to turn the key on and wait almost a minute for the choke stat to slowly open up the choke and start properly or it will try to flood itself. So running rich from that put some soot in the tailpipe but not as much as the properly running gdi 2.4.