If using wfp hot or cold to remove egg without first applying chemicals to soften the egg is a nightmare and quicker to go up a ladder, I agree with that.
I'm fortunate, I keep a wfp brush that allows me to insert pads of different types for removing awkward things such as egg thrown on glass using a wfp brush with three or four extra scrubs safely from the ground. Removes the egg on UPVC frames as well as the glass but wouldn't like to use it on wooden frames as it will more than likely take the paint off too, what's the safest or most practical solution? who knows!