As for Monk's meter it very may well have been his spiked finger approach that caused is use of meter.
He doesn't "curl" his fingers and uses them as mallets which is where his harshnes of attack and lack of legato comes from.
But getting back to Monk. Monk advanced parkers ideas he isn't trying to cover up the twelve tones he's celebrating them. A sign that he was the student of parker who carried the concept to the next level.
Another unique difference, as Parker was the originator he used the popular form to solo over. He didn't change the chord progressions to advance his ideas. Monk used advanced reharmonization and changed the form to accomodate his unique ideas. Miles Davis wanted none of that.
About Miles Davis and Charlie Parker
It was Davis that sought out Parker not the otherway round.
http://en.wikipedia.org/wiki/Miles_Davis
From his own words
http://en.wikiquote.org/wiki/Miles_DavisThe music has gotten thick. Guys give me tunes and they're full of chords. I can't play them...I think a movement in jazz is beginning away from the conventional string of chords, and a return to emphasis on melodic rather than harmonic variation. There will be fewer chords but infinite possibilities as to what to do with them. About the new modal style. Interviewed by The Jazz Review, 1958.
It's that goddamned motherfucking 'Machine Gun.
Davis in his own words said he couldn't play those chords. He never said he couldn't play in time with what others were throwing out. It wasn't about a pianist's meter look no further then his own pianist Bill Evans who has a "tidal" approach to timing/meter as opposed to a straight on the beat or consistent push or pull approaches to timing.
Even Jan has stated that miles wanted to escape the trappings of jazz progressions as they led to drawing out standard phrases. Which is why he didn't use "Popular progression form" when he released Birth of Cool.
Miles was classically trained and studied at Juliard. It was that classical theory that grounded his future ideas moreso then the popular form.
When he recorded Birth of Cool. He didn't come in with transcriptions chord progressions or a full sheet with lines he specifically wanted players to use. He came in with little strips of paper. Where he would jot down notes he wanted others to play. He used classical polyphony rather then homogeny *chord changes" as the form.
Whilst Parker and Monk were evolutionary in jazz with bebop in the early to mid 40' Miles Davis was revolutionary with his compositons that were post bebop and earned the distinction of the style known as "Cool Jazz" which did not emerge till 57'
Miles wanted no part of "The progression" look again back at the quote" He wanted to break the binds he felt were present to focus on the solo above all else not in context of all else as his predecessors did.