You Bet it Does
The fretboard is a major factor in how we interact with the guitar. Anytime the guitar FEELS different, it will probably affect how we play, thus affecting how we sound. Instead of jumping straight to a debate on the material, (ebony, rosewood, maple) for instance, we need to think about how we interact with the guitar.
The fretboard Radius has a huge effect on how we play. It affects the overall dimension of the neck and will change how the guitar feels. See the accompanying video to see how.
The fret size also has an effect on the overall playing size of the neck.
The setup is a major factor and is often overlooked see the video for more details!