You cannot compare flying an F-16 with a bubble canopy in airspace cleared of other traffic apart from yourself and a few other mavericks, with flying a large metal tube filled with 200 human lives in busy airspace.
I had an RA going into Madrid a few days ago. The business jet pilot was descending quickly without looking outside his cockpit, hence he didn't see the 737 in front and below him, leading to an RA. We continued to descend and his RA presumably told him to climb. ATC finally caught up with the dangerous situation they had created and told the business jet to level off.
The point is that there is no way we could have known about the business jet because he was trying to land on us from behind and I suspect his view of us was obscured by his lobster thermidor. So, TCASII saved the day.
Follow the farking TCAS RA. It's got nothing to do with Magenta lines.