Does passing in front of a person who is praying invalidate their prayer?

One should not pass in front of a person who is praying, whether indoors or outdoors unless it is necessary. The Prophet Muhammad (saw) said that it would have been better to wait for 40 years, rather than pass in front of a person who is performing prayer (Muslim, Salat, 261). A person who is about to perform prayer should also take precautions, such as standing in a suitable place or placing an object (sutrah) in front of them, in order to prevent people from passing directly in front of them. This is because the Prophet (saw) advised those who perform prayer in places where there is the possibility of humans or animals passing in front of them to place a sutrah (a stick or some other object) in front of themselves (Muslim, Salat, 241, 242). Therefore, in this case, it is regarded as makruh not to use a sutrah. However, during prayers performed in congregation, it is sufficient for only the imam to have a sutrah; the others do not need to place a sutrah (Bukhari, Salat, 90). Passing in front of the sutrah does not pose a problem and the prayer of the person is not invalidated if someone passes in front of them, although the person who passes becomes responsible for their action. In large mosques, it is permissible to pass at a long distance from those who are praying (Kasani, Bada’i, I, 217).

What are the makruh times for performing prayer, and what is the reason for this rule?