Do Daffodils for zone 9 need to be refrigerated?

Lake Charles, LA

I bought several varieties of Daffodils including King Alfred, Ice Follies, Semper Avanti, and Exception. All are for zone 9 with the exception of one being for zone 8. All of the packages said to refrigerate for 6 weeks, except the King Alfred which I purchased from a different vendor.
My question is if the Daffs are suited for zone 9 then why would they have to be refrigerated. I have read that once bulbs are cooled using this technique, they may not bloom again. Is this just a marketing tactic to get people to buy more bulbs or do they truly need refrigeration?
I would greatly appreciated any advice on this matter.

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