Why would your backup be lost? I posted links that cover how to inherit the backup to use with your new computer.
I worded that poorly, (thanks for those links by the way), what I meant was, if my Time Machine backup is indeed corrupt and any system restore/migration is also transferring those issues over to the new mac, I'd do a new wipe and install on the new mac but then (from what I understand) I wouldn't be able to use my Time Machine backup on my external harddrive as a separate hard drive and connect it to my new mac to just copy over the specific document files and photos etc (as if it were a flash drive). In such a case, I would have to open up Migration Assistant and move over all of my user profile, or applications, or 'other files and folders' etc - which again, would transfer over problems (where as if I transfer over only specific files and one of them is corrupt, I can pickup on that as soon as I open that file and delete or fix it there and then - it won't be a system level fault) - hence my comment about my backup being lost, in that I can't use it in a flash drive manner and a system wide migration is also causing issues. At least that's what I think is the situation, right?