In the first photo, the swirl on top is some leftover soap drizzled on top and then swirled with a tool, like a chop stick. The second one, I think is the end of the pour when the soap has thickened up and no longer as thin as at the start, so it mounds up on top as it is poured.
In the first one, I believe the soap batter was still pretty thin. But in the second one, it was getting thicker.
IMO, the soap recipe makes a real difference in how thick the batter becomes and the consistency it has when it pours. Some oils tend to create more fluffy batter, while others a heavier batter when thick. Also how mixed matters as well. For example, I learned at the piping workshop I took last month, that if I over-mix the batter for piping, it starts to loosen up and loose it's fluffy consistency. I had not realized that before the instructor pointed out to me that that was what was happening.