It's easy to work around this problem: don't use UUIDs. After all, if you're using LVM, then your partitions have meaningful names, so use those rather than the incomprehensible and meaningless UUIDs.
You mean that I should edit /etc/initramfs-tools/conf.d/resume and set RESUME=/dev/mapper/debian-swap_1 according to my configuration? I got this from http://bugs.debian.org/cgi-bin/bugreport.cgi?bug=568877. Well, I did that followed by updating the initrd but it did not do the thing. The system even failed to go into hibernation whereas it at least did hibernate before. No idea how to disable the use of UUIDs...
Nima