I wouldn't expect that station, or those of similar ilk to develop religion because it's the right thing to do. They will do so either because of competition or embarrassment.
A few suggestions. First, differentiate your own product. When you do a broadcast, point out how today's weather compares with what you actually forecast. When your forecast differs from the Weather Service or competition, point that out. This can be done positively with style and grace. Just mention that viewers may have heard one forecast elsewhere, but that your forecast is different, and then elaborate. Dropping the hint to your anchors may result in a toss that also makes this point. Viewers will begin to get the idea there's a difference. Second, use your superior professional training to offer more specific forecasts within the bounds of what our science makes possible. If your competition offers broad generalities, and you are more specific with respect to time and location, viewers will gradually pick up on that too. Third, if you do many public appearances, speeches, etc.(and you should) use those as opportunities to gently contrast your approach with the competition. Finally, if your competition engages in blatantly misleading or false claims, and you have cultivated a constructive relationship with local newspaper media critics, a subtle word or two can sometimes have some impact, as can a letter of complaint to the AMS or perhaps even the NWA with a copy forwarded to the offender and possibly the station manager. If your case is a solid one, consider forwarding such a letter to the local newspaper. I'd suggest you consult with your news director.
As a former president of our company once said, "never wrestle with a pig; you both get dirty, and the pig likes it." That doesn't mean you can't outwit them.
Jeff Renner
Senior Meteorologist
KING Television, Seattle