It certainly doesn’t look like mould to me, and it wipes off much more easily than other bathroom mould I’ve encountered. It looks just like dried splashes of liquid - you can even see the shape of the droplets where they have run down the door. I just don’t know why they’re brown!
BTW - I would doubt that it’s related to condensation, as surely any coloured impurities in the water would be left behind when the water evaporated. So I think it must be either liquid water splashes, or, if it is to do with condensation, it’s something in the wall/door/ceiling that is leaching out when water condenses on it.