Using "sought" isn't THAT strange in modern English, although it's certainly less common than "looked for". I might seek you out to get inside information on the company you work for, or to offer a specific warning, etc. "Sought" and "sought out" suggest a more serious and intense search than just looking for somebody.
That's not really true. Maybe you never use the word, but I do! Admittedly, I use it more in writing than in speech, and the usage probably varies by region. (I live in Texas, where the word "village" sounds quaint and old-fashioned, and I've never heard of a sought-after one.)
Unfortunately though, without understanding dative and learning which prepositions and verbs it is used with and when, it is impossible to put sentences together. You have to be able to recognise dative objects and be able to decline adjectives correctly and use the correct pronouns. Otherwise you will only ever be able to use basic phrases.
Yeah but my point is that's a circular argument for beginners.
Germans have an innate feeling for when you use "wem?" and so on, and they use that to identify case. But suggesting to non-native learners that you use that trick to identify case doesn't work because they don't have that 'feeling'. Then, your comment that we should learn the cases so that we can use that trick to identify cases... well, do you see the problem with that?
Yes, obviously we all want to learn, and to recognise sentence structure, and to speak beyond the basic phrases. But that method is not helpful for learning from the beginning. To point it out is to improve the didactic method of those helping us learn.