That's where knowledge and common sense comes into play.
If its P6SM 5 plus spread with 3k OVC, there is ZERO reason to scrub a local area flight.
I've fired up when I knew the weather was getting bad quick with a student. I knew before takeoff via would drop to below mins, sure enough we fuel up, fire up, run up, I say "how far were those hills to the east again" he looks over and they were gone. Shutdown and went back for lunch. The lesson he learned, VERY valuable.
It went from 5sm to 2sm, but how it did it would be very easy to get caught up in for a uneducated pilot. Again common sense and a little local knowledge or good met skills.