Intro

I am writing a piece in D major that I intend to be at a Presto tempo. This piece that I am writing, at first I intended for it to be a Scherzo. But it would be so short as a Scherzo and I didn't really notice much development. So after thinking about it for a while, I decided to expand it into Sonata Form. Here is an image I made to illustrate that expansion:

I have been told that my piece does not sound like a Presto, but rather, a fast Allegro. I am not one of those that just decides on the tempo and runs with it. No, when I write with a specific tempo in mind, I do several things to reinforce that tempo. In the case of Presto, I do this:

• Put in long notes, but not too many, otherwise it will be a Moderato and not a Presto, just enough to provide rest for the hands without losing the constant momentum needed for a Presto
• Write a lot of sixteenth notes, but don't go crazy on them, otherwise they will become taxing or even impossible
• Write down fast accompaniment(eighth notes at least), so that when the right hand hits a long note, no momentum is lost
• Only have both hands rest at cadences
• Thwart more cadences than I would in an Allegro via melodic means(like for example, the bass stopping on a supposed PAC while the melody just keeps going in sixteenth notes with no sense of cadential arrival)
• When I want to write a longer sixteenth note passage than just 1 measure, alternate which hand gets the sixteenth notes so that it doesn't become taxing on the pianist
• Use shorter passages of sixteenths for the purpose of keeping up the Presto momentum and use longer passages for transitions

My D major piece is at quarter note = 190 BPM which is well within the range of Presto(some Haydn Prestos are as slow as 160 BPM and some Beethoven and Chopin Prestos are at 200+ BPM, which makes my 190 BPM on the fast side of Presto). And yet, people are telling me that, the way it is right now, Allegro Molto e Vivace would probably be a better tempo marking than Presto for my piece. I don't understand why though. Here is what I have so far of my piece:

https://musescore.com/user/50070/scores/5745153

Style

I am going for the Classical Style with this piece. There is one particular movement of one particular piece by one particular composer that inspired me to write this piece. That would be:

The Presto movement from Mozart's Divertimento in D. It is only coincidental that Mozart's divertimento and my Sonata Form piece are both in D major. As you can see, Mozart is using almost constant eighth notes as accompaniment. His accompaniment is simple repeated pitches. But, if you couldn't tell already from what I have written, I am writing this piece for solo piano. This means that simple repeated pitches makes much less sense as far as accompaniment goes.

Everything about my piece, the fast tempo, the Mozart inspiration, the Classical style, the solo piano instrumentation, all pointed towards a single type of accompaniment. That one being Alberti Bass as shown here:

Question

So here is my question.

Why am I getting feedback that this sounds like an Allegro and not a Presto? Am I not at that balance between short and long notes yet? Does it have to do with my lack of ornaments? Does it have to do with my Alberti bass being in eighth notes(I was worried that sixteenth note Alberti bass would be too taxing and thus didn't write my Alberti bass in sixteenth notes)?