Looking at who turned down QOs last season, it's not crazy to think that if Paddack maintains anything even close this level of production that we could offer (and he would turn down) a qualifying offer. The three closest comps from last offseason are:
Severino - Age 31. Coming off of a good, not great season with the Mets after a half decade of injury issues. 3yrs/67M from Athletics
Pivetta - Age 32. Coming off a string 4.xx ERA seasons with Boston, as a pretty reliable innings eater (he's been really good this season) - 4yrs/55M from Padres
Manaea - Age 33. Similar 2024 season to Severino with the Mets, with less injury history and better peripherals. 3yr/75M from Mets.
Paddack will be 30 for all of next season. Similar injury history to Severino, but probably not quite as bad (somehow). If he could keep his ERA around where it's at right now and keep around that strikeout per inning he's been flirting with for these 10 starts, then there's no reason why he wouldn't expect to get 3/60 from someone.