I am guessing you guys updated active notifications to the latest version? When I had that latest version, pulling the phone out of pocket and unlocking had a lengthy delay. After pulling the ring down there was a 1.5 sec delay to get to homescreen. Not sure if my issue is related to yours.
All I did to fix was RSDlite back to 4.4.2 and keep WIFI off to prevent automatic update. Disable automatic update in play store then enable wifi. No more delay issues for the last two days since I applied that fix.
Moto X [Rogers XT1058]
Stock 4.4.2, Rooted and heavily debloated
Moto X Debloat guide
2x S2 i9100, iphone 4s, S3 I747, iphone 5, Nexus 4, HTC One