like 10 miles out and 10 back for an ILS?
Completely unnecessary given the reported conditions... don't confuse general concepts with individual cases. Circle down from overhead and use the ILS for say three miles if you absolutely need to - but you wouldn't need to in this case.
Remoak, done a few ILS's in real foggy conditions in a real aeroplane with an engine problem or are we talking Flightsim2000?
According to my logbooks I have done about 120 Cat II approaches over 20 years (real ones, not simulated). That's to 50' ARTE disconnect. Also a handful of Cat IIIb approaches to autolands.
So yeah I've seen a bit of fog... but then I was living in the UK so...
I agree about AWIS, take them with a pinch of salt. The one at my local airport has a wonderful imagination...