Would it actually be possible for lsu to become a perennial doormat in sec basketball?

Obviously the last 3 years have been grotesque and unacceptable, but could it actually be possible that this becomes the norm for the program?

My concern is that they have entered a doom spiral in which the rock bottom status scares away good recruits and transfers, leading to yet more rock bottom and more scaring away, until the program becomes entrenched as a doormat (ie like vandy in football)

It worries me a lot that the program is in shambles at the same time the conference is ascendant. Recipe for disaster.