"I like to travel alone with my wife"
Does this sentence make sense?
According to Merriam Webster, alone (adj) is without anyone or anything else, not involving or including anyone or anything else, separate from other people or things, without people that you know or that usually are with you. So I suppose that "alone" shouldn't be used to mean "together with another person".
But when I googled "alone with my wife", the result showed that some people did say that. I want to know whether they use the word "alone" correctly in such sentence, and whether it makes sense to be written in an essay. If it is not correct, then what should the sentence be when the writer means he only enjoys travel when it is done with his wife?