Is that straight pipe on the pictures? If so, I'd guess that all pipes in your house have asbestos around them. The white stuff is asbestos, the brown is not.
Usually in Sweden, old pipe insulation was usually glass fiber with cotton-gypsum weave around. It was usually common that asbestos was plastered around bends because it was easier to apply than gypsum and it turned out prettier.
As long as there's something to cover the asbestos, there won't be any airborne fibers.