This is subjective and only from personal experience from things I have seen in the past (or thought myself when I was younger):
1. It's close enough, someone without authority decides to pass the discrepant part along.
2. That is not an important dimension. Someone, not the engineer, 'knows' what the function of the part is.
3. We have too much money invested, send it anyway. Management does not want to make it again.
4. Honest, actual mistake such as miss-reading a tool, device, or print incorrectly.
Having in in-coming inspection department does not catch 100% of incoming issues however, it does allow you to catch some of the issues (if you have any). Additionally, (IMO) if your vendor hears that you will not be inspecting incoming parts, human nature says 'go ahead' (similar to speeding, it's technically against the law but the majority of people do it).
I don't know what country you are in, but these are thoughts from the United States. You know the culture of your company, you however, don't know the culture of your vendors company. Even with my negative seeming answers, I firmly believe 95% of employees want to do a good job. You just need something to watch for the 5%.