From Me To You,and especially She Loves You and I Want To Hold Your Hand were praised by some music critics even from the beginning,like William Mann of The London Times in December 1963 pointed out their interesting unusual chords and arrangements and London Times music critic Richard Buckle also in late 1963 called John and Paul the greatest composers since Beethoven after they wrote the music for a play Mods and Rockers.
Bob Dylan ,Roger McGuinn of The Byrds as early as 1963 and 1964 pointed out that even in early Beatles songs like She Loves You and I Want To Hold Your Hand had unusual and interesting chords and they arranged them.
Here in this article about The Beatles chords,Bob Dylan is quoted saying what he thought in 1964 about The early Beatles music,he said that they were doing things nobody was doing and that their chords
Here in Rolling Stone Magazine's 100 Greatest Song Writers Bob Dylan is number 1,Paul McCartney is number 2, and John Lennon is number 3, Bob Dylan is quoted about a car trip when he heard a lot of Beatles songs on the radio, he said they were doing things and that he knew they were pointing the direction where music had to go.
Roger McGuinn has said that he started to play a 12 string guitar after he saw and heard George Harrison playing in in the A Hard Day's Night movie.
And John and Paul wrote one of The Rolling Stones first hits the rock n roll song, I Wanna Be Your Man in late 1963 right in front of them. And Keith Richards and Mick Jagger were impressed and said wow,how can you write a song just like that and it inspired them to start writing their own songs.
John Lennon and Paul McCartney were such amazingly talented singer song writers that they were already writing hit songs for other artists as early as 1963 when their own song writing success was getting off the ground,besides The Rolling Stones,they also wrote hit songs in 1963 for Billy J.Kramer and The Dakatos,Celia Black,and Peter and Gordon etc.
Paul wrote his first song at age 14 and was playing guitar,John wrote heavy deep poetry but didn't start writing songs until he met Paul and was impressed that he wrote his own songs,and he too started to write his own songs at age 16,and they wrote together and never stopped from then on. Paul wrote the very pretty song I'll Follow The Sun at only 16.Even when The Beatles first came to America in February 1964 many people said how rare it was for *adult* rock n roll bands and solo artists to write their own songs,and Paul and John were already doing this as teenagers in the mid 1950's.
And even though I wasn't born yet in 1963 I know what type of music was popular on the radio,non rock n roll songs like Bobby Vinton,The Four Seasons,Bobby Darin and The Beach Boys surfing hits,The early Beatles songs like She Loves You, I Want To Hold Your Hand and I Saw Her Standing there etc were hard rock for 1963 and ahead of their time.