Hi there @daunker
Did you ever resolve this issue?
We have exactly the same problem. When it rains, the cladding is leaching onto the white render below. It also drips onto the windowsills and stains the render around these, and also stains around the boiler flue, and outdoor lighting on the render too.
Looks pretty awful at the moment to be honest.
We wanted the cladding (Siberian Larch) to weather naturally to a grey, but are worried it is ruining the render in the process.