If your teacher thinks Hanon is appropriate and shows you how to practice them usefully, then where's the problem? You want to work on them and your teacher thinks it's appropriate. So why not?
Yes, that is exactly how my strategy is now. But all the negative, completely dissing opinions ?
I'd say that most of the "negative, completely dissing opinions" have to do with taking Hanon's Preface at face value and assuming that simply playing through all the exercises over and over without any guidance from a teacher will turn you into a virtuoso. Or the complaint that the exercises are musically boring - but surely they are no more boring than scales and arpeggios, and scales and arpeggios are very useful if you practice them thoughtfully and preferably with a teacher's assistance.So go work on Hanon with your teacher. After a month or two decide whether you think it has been helpful.
My teacher has me warming up on Czerny instead of Hanon as well as contrary motion minor scales, then going on to Etudes. If you trust your teacher then listening to their advice ought not to be a problem.
Yes, would you be a little wondering if your teacher insisted on Hanon ? There are some problems with blindly trusting a teacher always. Today differing opinions are everywhere.
Czerny is utterly different to Hanon. All beginners should have some experience with Hanon, that doesn't mean you have to do a whole heap of them but a good teacher will be able to direct your attention to a few which will help develop your less experienced fingers. Personally I have never subjected my students to 30 Hanon, I think that is a little over the top but a rare few of my students in the past have enjoyed them and gone ahead and learned more on their own. In any case all pianists should be able to do any of the exercises without any problems at all, so if you find one which challenges you then you should actually ponder what is hindering you there.
Hanon, viewed as a collection of patterns you can play to exercise and develop control over your fingers are neither inherently good or bad. The issue is how you do them. Mindlessly with lots of tension? Probably bad. Or mindfully, with a focus on ergonomic, safe, relaxed movements, and only for as long as you can fully concentrate? Probably useful.