The true tone of the guitar is very important to have a good final output in recording and also during live performance. There is a plethora of factors that contribute to the tone of the guitar, starting from its construction and design.
Single cutaway makes it easier to play the higher notes, high up the neck. Also provides a distinct classic look to the guitar. The downside is that some of the low notes high up the neck can be inconvenient to play.
Same benefits of single cut but makes it a little easier to play the low notes high up the neck. Also a lot of people like the symmetric look for aesthetic purpose.