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As loing as you have new leaves growing, the plant is not dead. Give it plenty of TLC, and the new leaves will grow out and will be looking better soon.

Foxtail Palms are hard in zones 10 and 11.
They would not survive freezing temperatures.

https://www.gardeningknowhow.com/ornamental/trees/foxtail-palm/foxtail-palm-tree.htm

It would seem that your Palms did not adequately grow it's root system to support itself.
This could be due to improper planting, over fertilizing or environmental issues.
At the size that your Palms are they are vulnerable to wind.
There is little to be done at this point except give them the optimum care.

Here is a link to refresh you on their care requirements.

https://www.gardeningknowhow.com/ornamental/trees/foxtail-palm/foxtail-palm-tree.htm

There is a disease called Lethal Yellowing caused by a bacteria that can infect the Foxtail Palms.
Here is a link with more information.
You may need to have a certified Arborist or Palm expert inspect the palm for a diagnosis.
Your local County Extension office can help you find a qualified expert in your area.
Here is a link to find the closest office.
https://www.gardeningknowhow.com/extension-search/

https://www.gardeningknowhow.com/ornamental/trees/foxtail-palm/foxtail-palm-tree.htm

https://edis.ifas.ufl.edu/pp146

Well, what an interesting question!
My research show that the Foxtail Palm was shows that the world was quite unaware of this species of palm until 1978 when a
Aboriginal man brought it to Botanists and the world's attention.

It was originally found only in a very small region of Austrailia. After it become known the Foxtail Palms became so popular that there was a black market for the seeds.

Here is a link with more information.

https://www.gardeningknowhow.com/ornamental/trees/foxtail-palm/foxtail-palm-tree.htm

This is a normal variation, as explained in this article:

http://edis.ifas.ufl.edu/ep344