At -5°F? Hell no!

At +5°F, they rate their own equipment to have a 2.0 CoP.

https://mylinkdrive.com/viewPdf?srcUrl=http://s3.amazonaws.c...

* https://ashp.neep.org/#!/product/156605/7/25000/95/7500/0///...

An LG unit with 2.4 at -4F/-20C:

* https://ashp.neep.org/#!/product/29688/7/25000/95/7500/0///0

Searchable database of cold climate air source heat pumps (ccASHPs):

* https://ashp.neep.org/#!/product_list/

Though it’s worth noting that that first 2 ton rated unit is putting out 0.5 tons (6k BTU/hr) at that temp and rating.

That’s not going to be particularly helpful for a structure that needed 24k BTU/hr during warmer temps, meaning the owner of the unit is likely mixing in a lot of 1.0 BTUs to meet the heat loss at -13°F.

I just did a quick search for "all" units and sorted the result list/table by COP@5F. If one was actually shopping/designing a solution then a more nuanced search criteria would be used.

Further, you'd probably want to do a (US ACCA) Manual J calculation to first determine how much energy is needed (j = joules)

* https://www.youtube.com/@HomePerformance/search?query=manual...

Then the (US ACCA) Manual S (select) to figure out your equipment:

* https://www.youtube.com/@HomePerformance/search?query=manual...

One can lookup the 1% (or 0.4%) of coldest/hottest days for your area, which would help determine what one actually has to typically worry about:

* https://ashrae-meteo.info/v2.0/

* https://www.airequipmentcompany.com/2021/what-does-design-da...