Assuming that you have a Z-Wave stick and utilities to see the routing table for each device, that the only way to confirm for sure that the lock is connecting to the repeater directly. The way most folks do it to simply move the hub away from the lock say 75 to 100 ft, put the repeater closer to the lock say 20ft, reboot the hub and do a Z-Wave repair.
However, after seeing all the comments on this topic and especially given the fact that the lock seems to work just fine after it’s woken up (e.g. manually lock it or activated from the August app), it sounds like it may be a lock firmware issue that has some role to play in it. That is very unusual behavior. You may need more sophisticated Z-Wave tools and sniffers to see what’s going on here.