It's far faster to do something akin to truck-based synchronization, but don't actually synchronize if you know both disks are definitely all-zeros.
One problem though: the disk isn't literally all-zeros. For truck-based authentication to work, it has to have the metadata too. If you're using internal metadata, you have to make sure that's copied across.
Do this on both nodes!
Important. You need to know EXACTLY how to reload the meta information. To do that, run:
# drbdadm -d dump-md <resource>
Copy the output. It should look something like : drbdmeta /dev/drbd0 v08 /dev/sda1 internal dump-md
Modify it to look like:
# drbdmeta /dev/drbd0 v08 /dev/sda1 internal restore-md /tmp/md.txt
Done! It should not ask for full-resync unless you invalidate the device.
If you wish to double-check that the above worked, use:
# drdbadm verify resource
and watch /proc/drbd for the status