Rear band questions

Hi guys,
I'm finalizing my parts list for my 904 rebuild and have questions on rear bands. My tranny is a '71 so there are some quirks. First what's the benefit (or not), of using a double wrap 2" wide rear band vs a single rigid band? Secondly, any downside to using relined rear bands. New rigid Raybestos is $37. The price diff for a double wrap is significant, $20 for a relined (by Alabama Bands) - $63 (new Raybestos).

Lemme know your thoughts.

Thanks.