I would think you could give them a try. They aren't medication. If the test line works, then the test is very likely to be functioning. If the test line does not show up, the test was probably damaged.
It's considered less accurate because of the reagent but in the PP's case if the lower allowance temp is 59 degrees and in was less than 20 degrees (they said it was teens) and it sat out for 3-4 hours I personally speaking wouldn't feel comfortable trusting the results because of the large gap in allowable lower temperature. If that lower temperature was 35.6 (like BinaxNow) and it was in the teens for the same amount of time it would be considered less accurate but I might feel more comfortable.
This info is from a USA Today article but the formation has been talked about for a while since the at-home covid tests exploded in usage
What does it mean if your at-home tests comes in the mail and it's cold?
Dr. Geoffrey Baird, Chair, chair of laboratory medicine and pathology at the University of Washington's School of Medicine
, said the issue with the at-home tests is that if the liquid inside the cartridge is frozen, the results can be skewed. If the test is outside for a few hours, odds are the test is fine, although not as accurate as it once was. If your test is in your mailbox for a day or more, Baird advises using a PCR test instead. Baird said if your test spent a night in your mailbox in 25-degree weather, it may be best to order another test.
if a test is stored outside the recommended temperature "for a relatively short period of time," it will be fine to use after being placed back in room temperature, the spokesperson said. If the test lines on your at-home test appear in the incorrect order or color, Baird said that's an indicator it's been contaminated by the weather. "When you freeze and thaw something, the solutions in it may not actually get back into solution as it once was before. That's where the inaccuracy in these at-home tests can come from," Baird said.
The problem is that article mentioned BinaxNow which has a much lower temperature allowance than the test the PP mentioned on the box.
So it may still work as in functioning but the results not necessarily accurate. That's why I can't believe the Federal Government is sending out tests with a lower allowance of 59 degrees in the wintertime. It means many of these tests may experience issues with accuracy especially because people are getting them when they aren't expecting them (like an early delivery or in the case of the OP of this thread a late into the day delivery without realizing it)