1-My brother whose name is John is arriving tomorrow.
2-My brother, whose name is John, is arriving tomorrow.
3-My brother who works at the post office is arriving tomorrow.
4-My brother, who works at the post office, is arriving tomorrow.
In which case:
a-I have only one brother
b-I have more than one brother
c-One cannot tell
]1-My brother whose name is John is arriving tomorrow. You have more than one brother. This is a very unnatural-sounding sentence.
2-My brother, whose name is John, is arriving tomorrow. You probably have one brother,
3-My brother who works at the post office is arriving tomorrow. You have more than one brother.
4-My brother, who works at the post office, is arriving tomorrow. You probably have one brother.
I agree.
I personally think such attempts to determine how many brothers someone has through his use of commas is folly.