Your videos sound like a piston slap. My car is a 2009 auto, and when first started, if you put the car in "Drive", the sound immediately gets louder. If it were a lifter, the sound would not change. My car is slated to go to the dealer shortly for this problem, and I expect to get another engine put in under warranty. This sound was first brought to the dealers attention when I had 5000 miles on the car, and it has increased in intensity since that time. The explanation given at that time was that it was a normal Versa injector "pulse" sound. Well, if were a normal injector "pulse" sound, it would not have gotten louder over the years, or be affected by cold weather setting in.