Profit motive is like gravity - it's always there, in every society. It may have other names, like making your superior happy, but it's there.
You have to guard against profit motive weakening your core values - you have to put up guard rails. If those guard rails are missing, that's very bad. If those guard rails are there, and people avoiding them is normalized, that's very bad. If those guard rails are there, and people get in trouble for avoiding them, that's very bad.
If those guard rails are there, and you have a comprehensive process for reviewing incidents and updating rules and processes based on real world factors, then you're part of the way towards good safety culture.
Safety culture is the decisions that individual team members and teams make. Safety culture is also the corporate process for evaluating incidents. And also the way that resources are or are not assigned when concerns are raised. And so many other things.