The fundamental problem in music notation is that it was designed for an 8 note system and we use a 12 note system. It's.. fine I guess, they got those extra four notes in there and millions of people read music with no problems. But it does create a lot of confusion for novice readers who now think those 8 notes are somehow more important than the other 4 or that the sharps and flats are somehow half notes(they are not, all 12 are equally spaced on a log scale) and don't even get me started on the confusing terminology, there are 12 notes in an octet, semitones? a fifth? a fifth of what? it is seven notes or 3/2's there is no 5.
With regard to the piano keyboard, again not terrible, but it definitely is a compromise to fit the mechanical needs of the piano. I really like the design of the chromatic keyboard(ever see an accordion with the big hex grid of buttons, this is a chromatic keyboard), it has the advantage that whatever key you play a song in it has the same fingering, on a piano every key has different fingering, so there is a big skill barrier to changing keys that interferes with employment of such a critical aspect of playing.
To sum up: you don’t like the current notation system, terminology and piano keys but also don’t have anything else to add to the discussion other than “I don’t like it”.
This is actually covered in the video. It's the "we should use a chromatic scale" argument and is surprisingly old.
The answer to why people don't use a chromatic scale is also in there. Very roughy, it's harder to sight read intervals between notes.
Standard music notation is a like a London Underground map, it's symbolic rather than literal.
Being more symbolic gives standard notation many advantages once you learn it.
The video does a much better job of explaining that than I've given. It really is very good.