Why should any President care about an American that breaks the law in another country?
Aside from their access to counsel, he shouldn’t.
My point is, increasingly, our government has seemed to care less whether the American really broke the law in a meaningful way, or was just arrested as a useful hostage or political pawn. Do you remember the Marine who got arrested in Mexico with a rifle? He had called the San Diego police, said he had taken the wrong turn, and couldn’t get off the road to the Mexican checkpoint. He hoped to declare at the checkpoint and turn right around. Instead, he was arrested and had a pretty tough time in prison for a year or so, before some pressure eventually got him out. There was a time when that would not have happened.
The Saudis, on the other hand, protect the citizen in spite of his clearly breaking the law.