While testing mistakes are at a very low incidence, I am always gun shy and always do a second test on an animal if there is any carriers in the pedigree, especially if it is a bull I am going to promote.
I had a bad situation a few years ago, when I had a breeder wanting me to price a bull calf I had here. I would not price him as I knew his mother was a TH carrier, but I said if he was tested to be TH free, I would then price him. I sent the blood sample in, and the result was that this bull was TH free. I priced the bull and he was purchased by the people who had inquired in the first place. In some ways we were very fortunate, because this herd only had 1 TH carrier female and she was the second female to calve to this bull. She had a TH deformed calf. This was a devastating situation and I knew this bull had to have been a TH carrier for this to happen. He was the only bull on this farm, and there were no other bulls in the vicinity of this farm. When I contacted the lab that had done the testing, they told me there was no chance of the test being wrong, as they always ran a second test if there was any question, before they issued a test result to the owner. I had the bull owners send another sample to the lab for testing and the TH calf was taken to a vet college and was confirmed to be a TH calf. The bull tested as a TH carrier on the second test. The lab, after being threatened with a law suite by the bull owners, agreed to a settlement and the bull was sent to market.
When I said we were fortunate, as if this TH Carrier cow had given birth to a normal calf, this bull could have sired many carriers for possibly several years, and no one would have possibly realized this. We were fortunate that the second calf born displayed the problem. I have heard of one other case of this happening, so I always do a second test if there is any possible chance.
The few carrier cows I have are used as recips, and only have a natural calf if they do not hold the embryo pregnancy. I see people routinely buying carrier females and I wonder if they understand what they are playing with. I can only hope they are diligent in doing proper testing.