Somebody doesn't get eliminated pretty much every week. Clemson lost to Syracuse, not eliminated. Auburn lost to LSU and Clemson, not eliminated. Georgia lost to Auburn, not eliminated. Alabama lost to Auburn, not eliminated. Most of these teams didn't get eliminated until the final week.
My example doesn't emphasize your point. You are claiming teams have to be in elimination mode every week. Well, Auburn lost to Clemson in Week 2, not eliminated. They lost to LSU later in the year, still not eliminated. What you aren't factoring in is that games for teams like Southern Cal or Stanford still mean something with auto bids, which they didn't now.
There are 4 teams with one loss that did not get eliminated, and 1 power five team that had 1 loss that was eliminated.
Each team can point to losses throughout the year to explain why they are eliminated. Some of the games you mention in your post above that you claim didn't eliminate teams, are actually examples of why they were eliminated - because they had too many losses - and in this season, multiple losses = elimination.
After week 1 FSU and FLA were in elimination games rest of the year.
After week 2 tOSU and Auburn were added to elimination game pool.
After week 3 UofL was added to the elimination game pool.
After week 4 ND, Okie St, and LSU were added to the elimination game pool.
After week 5 Va Tech and Southern Cal were added to the elimination game pool.
After week 6 OU and Michigan were added to the elimination pool.
After week 7 Clemson and Washington were added to the elimination pool.
With every week, the # of teams in must win situations increased because they took their first loss, which made for more elimination games throughout the season.
Put another way, Clemson won 6 elimination games, Oklahoma won 8 elimination games.
I guess it just comes down to how you want to look at it, and what you find more exciting. If you prefer a larger playoff format with less elimination games ok. But a 4 game format generates a lot more must win games, and a lot sooner in the season than the final couple of weeks.