Can if work in the NFL

"Basically, promotion and relegation, which is used in major soccer leagues around the globe, calls for the bottom three teams in a country’s top-tier league to be relegated to the second division at the end of the season while the top three second-division teams are promoted. The idea is to keep teams at the bottom of the table, long eliminated from title consideration, playing hard to the end of the season to avoid demotion."

Good story in the L.A. Times. I sometimes wonder if teams tank in order to improve their draft position. I know it happens in baseball and basketball. It certainly impacts fans who buy season tickets or tickets ahead of the games.

Would it improve more competitiveness near the end of the season ?