There is a audiophile madness that has been spread by all the rubbish written in the audiophile press to make you feel nervous about your equipment.
I have yet to find a fully working computer cd burner that does not burn files correctly onto a disk. Assuming the in the case of audio that the correct bandwidth is being used and the speed of the burning process is low, you will find it hard to beat.
If you are noticing your standalone cd recorder sounds different I would guess it is more to do with how you are feeding the information to it.
Personally I have many of the outboard recorders including years ago DATs, harddisk recorders and cd burners. Burning files direct from the computer has always been the best way out of jail. But if you are using your burner like an old fashioned tape recorder, then all the usual audiophile paranoid stuff will apply. Like how good are the input amps cables etc and recording levels.
