Confusion on Instructions for Form I-131 AP application form

On the first page of Instructions for Form I-131, the following words confuse me

NOTE: If you are in the United States and wish to travel abroad, you do not need to apply for advance parole if both conditions described below in A and B are met:

A. You are in one of the following nonimmigrant categories:
1. An H-1, temporary worker, or H-4, spouse, or child of an H-1; or
...
B. A Form I-485, Application to Register Permanent Residence or Adjust Status, was filed on your behalf and is pending with USCIS.

However, upon returning to the United States, you must present your valid H, L, K, or V nonimmigrant visa and continue to remain eligible for that status.

My understanding is the traveler has a nonimmigrant visa. Can someone give other explanation?

In addition, Thank pjiang for answering my previous question.

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