My teacher told me that his way of playing mozart is quite inadequate, in a sense he doe not respect the classical arpoach to mozart, he doesn´t follow what is considered by most people the right way to aproach mozrt´s music. On the other hand he says Horowitz is a fantastic interpreter of Scriabin, or Scarlati for example
By no means I am questioning your teacher, but I do question such approach.
For some unexplainable reason some modern scholars desided they "know" something about "classical approach", and for some even more unexplainable reason, those scholars feel they have rights to dictate how classical music should be performed (and BTW, the situation with baroque music is the same).
What do these scholars actually know about "classical approach"? Have they ever heard how it should actually sound and how do they know how it actually should be?
Let's be logical and think for a second:
As a person Mozart was a wonderful creature--he was talented, he loved life and was incredibly energetic, lively, and harmless person.
He knew how to be funny and he loved fun, jokes, wine, parties, women, and they loved him.
He could equally be incredibly emotional or careless, moody or completely open, be totally wasted, driniking for days and having fun with questionable girls or like posessed work for 26 hours a day...
He was living life and cared for domestic details--money, shopping for food, clothes, or anything else...
He loved, hated, suffered.....
sometimes he was scared, sometimes he was happy, sometimes he did not want to live, sometimes he...
I will tell you more... Sometimes he was taking a bath (it is not nice to girls to be stinky), or even more....
"sometimes" he even used a toilet

Yes, he WAS a genious and he was writing MUSIC, but the fact that he was genious does not take anything from the fact that he was a HUMAN BEING... like you, like me or anybody else.
The only two differences that separates him from me or you were:
1) He did not have a TV, computer, electricity, or central heater, or other conviniences of modern life, and
2) In his music he could COMPLETELY and FULLY express all the range of human emotions so naturally and with such an ease, with such a limited vocabulary as "classical music".
In my arguable opinion, only TWO other composers, ever lived, could express their emotions with such an easy language and greatness... but it is already out of topic...
And afer all of these... after a few centuries, because some scholars have an "opinion" (for what it's worth), saying: "Common, this is the classical approach", Mozart is reduced to something like a man in toxido with metronome in front of him...
Common, it just does not make any sense.
Mozart (and BTW, Scarlatti) was much more romantic than some "romantics". It just happened he was born about hundred years earlier.
But for now.... we have to be practical...
When you play Mozart you have four choices:
1) Express Mozart
2) Express yoursef
3) Express Mozart through yoursef
4) Express scholars' opinion on "classical approach" of Mozart
Any of those, if done convincingly would make perfect sense.
As for Horowitz' Mozart...
In my humble opinion, Mr. Horowitz wonderfully expresses this lively, emotional, youthful, half joking, half serious, or for that matter jokingly serious character of Mozart's music, which ultimately expresses Mozart HIMSELF, and to me it makes perfect sense.
Comparing Horowitz' earlier recordings of some Sonatas to the ones he did later, it is actually very interesting to see WHAT kind of artistic transformations Horowitz had thoughout his life, when we can see ALL the ranges from above classification, depending on the year of the performance, or movement of the piece.
One of my favorites is Concerto A major.
I might argue with some Horowitz mannerisms in his late recordings--you can like it or not, but it is impossible not to agree that in every note you can recognize--every note was played by one of the greatest artists and one of the most amazing musical minds ever born.
It is impossible to put such an art into any classifications because unlike some musical scholars (sometimes I am wondering if they ever loved), SUCH artists like Vladimir Horowitz actually CREATE classifications.
Hopefully I was not too boring and my point went through.