Trouble is safety culture often doesn't come from the top. It's simply not there or tranished by financial desire. In that situation all we can do is "try" and upward manage it. The challenge is it's often the new guys at the coal face wearing the brunt of the consequences and they aren't skilled in upward management.
In an absence of a safety culture there are three choices... change it, leave, or wear the consequences. To that effect we are sometimes part of the problem in that we can't change it yet we stay.
It's not an easy thing. I've left three companies because I just wasn't prepared to wear the consequences. You miss out on hours and income. It's a challanging industry, particularly GA.
I think the answer is "we" need to change. We need to stop working for organisations lacking a safety culture. Easier said than done but if we did this it would force change on them or they'd be out of business.