This is why I always recommended travel insurance especially to areas that are prone to bad weather. Airbnb has what's called the Major Disruptive Events Policy. I have copied and pasted what events might qualify under this. My assumption here (and I could be wrong) was that you were traveling during the cold front that came through where they initiated the freeze plan (January 19th-22nd or so) Given that I am in CA, I have no idea what measures of that plan were actually activated and ultimately affected travel, but it seemed to be more of a guidance plan vs actual orders. Given that airbnb support allowed the host to stick to their cancellation policy I would assume the events did not fall under one of those qualifying areas.
What events are covered
The following events are covered under this Policy if they impact your reservation location, occur after the time of booking, and prevent or legally prohibit completion of a future or ongoing reservation (referred to in this Policy as “Events”):
Declared public health emergencies and epidemics. Government-declared epidemics, pandemics, and public health emergencies. This does not include diseases that are endemic (for example, the flu) or commonly associated with an area (for example, malaria in Thailand). COVID-19 is not covered under this Major Disruptive Events Policy.
Government travel restrictions. Mandatory travel restrictions imposed by a governmental agency, such as an evacuation order. This does not include non-binding travel advisories and similar government guidance.
Military actions and other hostilities. Acts of war, hostilities, invasions, civil war, terrorism, explosions, bombings, rebellions, riots, and insurrection.
Large-scale outages of essential utilities. Prolonged outages of essential utilities, such as heat, water, and electricity, impacting the vast majority of homes in a given location.
Natural disasters. Natural disasters and other severe weather events. Weather or natural conditions that are common enough to be foreseeable in a given location—for example, hurricanes occurring during hurricane season in Florida—are covered only when they result in another Event covered by this Policy that prevents completion of the reservation, such as a mandatory evacuation order or large-scale outage of essential utilities.