It is not the burning software to write on the disc, but the firmware installed in the drive.
The burning software is only a graphical interface between the user and the firmware.
So, the burning software used to write on a disc actually has no influence on the burning quality.
To get good results you must use good quality discs, select the right burning speed, use the right firmware (usually, even if not always, latest version released by the producer).
About the burning software, then you can chose the one you like more.
The only “influence” that the burning software can have is on the computer more than on the burning process itself. Some software are more “heavy” than other and require a more powerful machine and/or more RAM memory to work smoothly, but other than this any burning software basically is good