Singapore arrested and caned the child of a US Ambassador in 1994. We didn't threaten to invade them. The US didn't use imprisoning or detaining travelers as a pretext for any war in the 20th century that I'm aware of.
The US did not lose respect in the world because we aren't winning enough wars, or somehow because of something Obama did (really?).
https://archive.seattletimes.com/archive/?date=19940510&slug...
That sounds way less extreme than what the OP suggests. If the US didn't threaten invasion over the detention of a family member of their embassy, I doubt they would do much for some random citizen that ran afoul of law enforcement in another country.
But it sounds good and that feel-good-factor was what the parent comment was trying to evoke. I'd say they succeeded momentarily.
In an interview, Lee Kuan Yew said he felt very pained with Clinton's lack of dignity in interjecting himself into something as petty as a vandalism case, and as a face saving measure for Clinton reduced the penalty from 6 to 4 lashes.
https://www.huffpost.com/entry/spare-the-rod-spoil-the-c_b_8...
I don't have the exact reference to this told from Lee's side much later, but the above story tells of Clinton's involvement.