This seems incredibly silly to me, especially as Salty noted it's entirely legal to fly nordo. That said, this is from flying magazine:
Food for thought regarding AWOS/ASOS weather reports: The following is an excerpt from an FAA legal interpretation dated May 24, 2012, concerning VFR flight visibility reported by automated weather stations.
“You describe a scenario where a pilot on a VFR flight plan arrives at an uncontrolled airport in Class E airspace to the surface and picks up the AWOS information for that airport. The AWOS report states that there is a ceiling of 100 feet and visibility is one-fourth mile with calm winds. You further explain that the pilot flies over the airport and determines that there is a fog bank over one end of the runway which obscures the last 1,000 feet but the other 9,000 feet are clear.
“You asked whether a pilot in this scenario is in violation of §91.155 if he lands at the airport.
Yes, if the pilot lands at the airport in the scenario described above, he is in violation of §91.155. In order for a pilot to land an aircraft or enter the traffic pattern of an airport, ground visibility at the airport must be at least 3 statute miles. See 14 CFR §91.155(d). The AWOS is reported a ceiling of 100 feet and visibility of one-fourth mile. This clearly does not meet the visibility requirements as outlined in § 91.155. The pilot’s report of flight conditions cannot supersede the AWOS in this scenario. The determination of the visibility by a pilot is not an official weather report or an official ground visibility report.”
I would argue that that scenario is different though as part of the runway is obscured.