
Progesterone testing is very reliable as long as you keep testing, every two days until the levels show that the bitch has actually ovulated. The eggs won't be ripe for another two days and survive for about two more.
This can mean three or four tests, depending on how soon ovulation occurs as you generally start testing around day 8 in a maiden, or a couple of days prior to when she was mated last time.
If you have just one test the lab will guestimate when she might be ovulating and ready for matingThis is based on the speed of the hormone level rise in the average bitch, unfortunately few bitches are average.
As for AI this will always be less reliable than a natural service (especially if frozen)and a lot depends on the skill, materials used to get the semen where it needs to be. Vaginal AI is much less reliable than surgical, which in the UK vets and KC frown on, as it is invasive