If it was a filler coming out of the rubber itself, you’d see a change in the rubber’s characteristics over time and that’s not consistent with my experience of sweaty tyres. I think there’s a much more mundane reason – it’s the liquid element of the sealant working its way through the imperfections of the tyre and all the little punctures that it seals but you don’t notice.
Most of my tubeless ready tyres don’t sweat at all when they’re new and get progressively worse as with use, reflecting the accumulated damage from punctures, but also minor separation of elements of the carcass (bear in mind the tyre is a composite of fabric and rubber layers) – some minor separation is going to occur through deformation under normal use.
Pure latex without adulteration is about 60% water and we all know it dries out over time. How do you think it dries out? It has to go somewhere and it leaves through the tyre.
It’s slightly oily because there are additives like a bit of glycol to help with freeze resistance.
IME glycol based sealants are notably worse for sweating, but how much a tyre sweats depends on the method and quality of its manufacture and how much of a hard life it gets. I don’t think it’s coincidental that my rear tyres sweat a great deal more than my front tyres