While there certainly is an issue with data integrity and retention, it is unlikely that anyone will need their entire DNA sequence "stored" for future use. It's becoming clear that the DNA you're born with isn't the same as the DNA you have when they recycle you. Further, medicine doesn't need your entire genome. Just the part that the doctor (or whatever they're called at that point in time) is interested in.
It is far more likely that you will be resequenced as needed.
Besides, you won't be able to afford it anyway.