It's just i couldn't find anything relevant in IDEA's settings, I am sure I might be missing something obvious. By default, it seems to choose the default project profile.
Conversely, for better usability, you could also put a 'Configure' button next to the commit changes dialog > Perform code analysis check, just like for todo check (way less useful to me) in order to choose the desired profile without the fuss to go in settings for each project, etc