I feel like anyone asking if the game has NTR wouldn't like it
Dependents on mindset, I don't like NTR games in general, but carnations are worthless sluts from plot start. No decent woman worthy of romancing would accept such deal. So MC just manipulate some sluts into being entertainment.
If you want girlfriend material there is Hana/Mina, but carnations...they are just a toys with believable background, to see how low they will fall. It dosen't even matter who will win contest, like in real life no one cares when some whore on crack dies.
Do you feel NTRed when you watch porn? Same concept here. Don't develop any emotional connection to broken goods.