Yes for a couple reasons.
1. I don't want to watch the Patriots in the SB, nor does anyone I'd invite to my house to watch it. I've seen that movie before and didn't care for it.
2. The AFCS doesn't have anything resembling the other division rivalries. The only thing comparable about the Jags/Dolphins comparison is they're both in Florida.
Shit, I have more emotional reactions to the AFC East teams than I do the AFCS.
3. To that point, the Jags have never been good enough to develop any kind of hatred towards them. At worst we're talking mockery and general derision. At best, big time little brother situation going on.
So go Jags!