Year one they should be ok.
Year two they will compete well.
Year three you will be scared of their mass... Time to get pigs.
We have a neighbor who has been on her farm for a long time, and her
sunchoke patch is in the middle of a grassy area, controlled by mowing a huge path around it. Last year they looked to me like they were crowding each other a bit. No grass in there though.
I don't think she eats Fartichokes.