Oh no, leave this post.
There is no correct way to play the piano in the literal definition of "correct". Technique will vary from one school of thought to another. For example, those trained via the School of Czerny will play in a very traditional style with very traditional technique. Other ideas include using arm weight to reinforce fingering. But consider this:https://www.youtube.com/watch?v=TJp5jk-e9ec
The greatest classical pianist of all time, Glenn Gould, ripping thru Bach his way, slumped, sitting very low, fingers flying, humming along, sometimes nose to the keyboard, without any reference score, and playing every single note with sub consciously calculated accuracy. Every single note. This video is unedited, it's on the spot real time.
In my musical travels through guitar (rock, jazz, classical) and keyboards (Baroque repertoire), I have found "technique" to be of the utmost importance. But technique takes on many different forms. If your technique is working for you, then it's the correct technique. The end justifies the means.