I'm no authority, but I'm not sure that you will get a higher quality copy and think there may be reason to believe that you will get a lower quality burn.
Some of the better quality programs that rip cd's from your internal computer drive to your hard drive can be programmed to get a very accurate read. For example the one I use "Exact Audio Copy" allows the user to slow down the drive and automatically rereads the disk multiple times to ensure a clean burn. It also reports any errors and an overall statistic on the accuracy of the burn. Free program as well.
Some of the better quality programs that rip cd's from your internal computer drive to your hard drive can be programmed to get a very accurate read. For example the one I use "Exact Audio Copy" allows the user to slow down the drive and automatically rereads the disk multiple times to ensure a clean burn. It also reports any errors and an overall statistic on the accuracy of the burn. Free program as well.