The 2 first videos don't even sound like the same issues to me? I've heard the loud ticking noise in person (very first video) and there is nothing subtle about it.
Current: 2008 BMW M3 Sparkling Graphite/Bamboo Beige/6MT. 1999 BMW M3 Techno Violet/Dove/5MT. On the list: BMW M2 Long Beach Blue/Black/6MT