The NFL hasn't used yards to determine the winner of the passing title since 1938. Vinny Testaverde and Drew Bledsoe are both in the top 12 all time in yards, and it's unlikely that either will ever make it into the Hall of Fame. Testaverde only had four Top 10 seasons in passer rating. Bledsoe had three. Romo has eight.
The reason the NFL stopped using yards is because teams that are losing pass much more often than they run, so they pile up a ton of passing yards. (Elliott's rushing yards are another matter.) Look at the top 5 QB in terms of yards right now (Ryan, Brees, Luck, Dalton, Rivers) and you'll see that they have a combined record of 15-19. The top 5 in passer rating (Brady, Ryan, Stafford, Brees, Prescott) are 18-11.
If your QB's passer rating minus your opponents' passer rating for the season is a positive number, your team is probably above .500.