For me, there is so much more to that question than just "how much do you allow weather to impact your travel?"
First, is the weather issue some rain for a day, couple days of showers, a blizzard, a downpour for several days, high winds for a week, etc.?
Second, is the weather something I have to pass through? Or is it at my destination?
Third, why am I going to that particular destination?
Last week, I wanted to go camping for 4 nights because I had 5 days off work. Purpose: just to get away from home for a relaxing time. Weather: rain from the time I would be leaving home through days and nights 1 and 2, high winds and rain for day 3 and overnight, sun for part of day 4 and all of day 5 (for travel home). I went - because the weather didn't interfere with my ability to enjoy the trip. Waiting a day or two until the travel weather would have been better, would have made it an overnight trip and not worth the effort for me.
In comparison, if my purpose had been specifically to be outdoors doing something OR the weather was to have been horrid the entire trip OR I could postpone the trip without impact (aka retired), then I probably would have pushed it back.
1975 American Clipper RV with Dodge 360 (photo in profile)
1998 American Clipper Fold n Roll Folding Trailer
Both born in Morgan Hill, CA to Irv Perch (Daddy of the Aristocrat trailers)