A top 10 Baylor recently? I beg to differ.
Besides, those are big rivals for us. I'm no aggy, but I don't see LSU being a big rival for them. Maybe they are, I don't know. I know they are in the same division, but I really don't know how they view each other. It takes time to build hate and create a rivalry. They are the noobs of the SEC and they really haven't done anything to this point, so it's "meh" as far as I know. Aggy has no real history with any of the SEC teams up to this point that I'm aware of.
At least TCU has history with the teams they've stormed the field against. Being left out of the big dance in deference to others that really didn't earn the right is a big reason to hate and have a rivalry. One of the big dogs that kept TCU out of the big dance is another reason to celebrate. I don't see the LSU-aggy relationship as having anything close to being similar as the situations you stated.