Sorry for the random nature of this paragraph.
This looks like a typical external double deck floating roof with a pantograph shoe seal and secondary compression plate seal. These types seldom have buoyancy or strength issues unless there was serious erection quality issues.
If the roof drains were closed and deck was overloaded with water from a storm, I would think that more legs would show oil and you would have widespread staining.
Since it is a double deck style, bad welds around the leg sleeves are an unlikely issue and since only a few legs are showing this, severely leaking compartments are not likely either.
It is hard for it to be vapors since the underside of the floating roof is normally in full contact with the liquid and while there could be some, you'd need a lot to condense into that much liquid, particularly in the hot summer months.
The sleeves are very tall and getting the floating roof that low in the liquid is quite unlikely.
I'm liking the idea that there was a turbulent fill event that splashed liquid up through these few sleeves, perhaps pigging or butane blending, etc. Bear in mind that getting liquid up through these small spaces in the leg sleeves is not easy, it would have to be quite turbulent.
If the rolling ladder froze up and held the floating roof down, I'd expect to see more and widespread liquid staining in other areas.
Question: do you have fill and suction pipe drawings?
Question: were the legs changed from low to high and position and back recently? If you pull a leg up, it may hold some liquid which might spill out.
Question: please help me understand what items 21 on page 9 of 12 of the tank drawings set are used for ( spherical caps )
Question: what does the floating roof company say?
Question: Were these legs always pinned in the low position or could the pins have been missing allowing the legs to telescope up and down as the floater came down to low liquid level, possibly bringing liquid up through, then they were "found" and "fixed"?
It's hard to find the cause without being there, getting a complete operational history, talking to those on site, etc. I'm basically shooting in the dark hoping to hit something. I am likely way off base and it will turn out to be something completely different.
Good luck, keep your ears and eyes open and let us know what happens!