In the first video it sounds to me like a slight bit of cold start nailing, which is something they apparently all have as they age. I've only heard one quiet one in real life (sounds like a sewing machine) and it's apparently toast. So I guess I'll take my clattering heap.

I do hear a squeaking, but other than that I don't hear anything catastrophic like in the other video you posted of someone else's car.

-Rog