[meadsjn]

You don’t need a CRBA if you are born abroad. You don’t have to apply for it. There is no law that says Cruz has to have one. His mother may or may not have applied for one, but it makes no difference. You don’t need that document to prove citizenship if you are born abroad.

Birth of U.S. Citizens Abroad

A child born abroad to a U.S. citizen parent or parents may acquire U.S. citizenship at birth if certain statutory requirements are met. The child’s parents should contact the nearest U.S. embassy or consulate to apply for a Consular Report of Birth Abroad of a Citizen of the United States of America (CRBA) to document that the child is a U.S. citizen. If the U.S. embassy or consulate determines that the child acquired U.S. citizenship at birth, a consular officer will approve the CRBA application and the Department of State will issue a CRBA, also called a Form FS-240, in the child’s name.

[4Zoltan]

You highlighted the wrong part of that passage.

"The child’s parents should contact the nearest U.S. embassy or consulate to apply for a Consular Report of Birth Abroad of a Citizen of the United States of America (CRBA) to document that the child is a U.S. citizen.'

It does not say "must" or "shall".

Here are the State department requirements for a child born abroad without a CRBA to obtain a US passport. A US passport is proof of citizenship.

Foreign Birth Documents + Parent(s) Citizenship Evidence

If you claim citizenship through birth abroad to U.S. citizen parent(s), but cannot submit a Consular Report of Birth Abroad or Certification of Birth, you must submit all of the following:

Your foreign birth certificate (translated to English),

Evidence of citizenship of your U.S. citizen parent,

Your parents' marriage certificate, and

A statement of your U.S. citizen parent detailing all periods and places of residence or physical presence in the United States and abroad before your birth.

https://travel.state.gov/content/passports/en/passports/information/secondary-evidence.html