At a smaller department you might get away with it. For IMPD the dispatchers don't even work for us, they still fall under county. From personal experience I can tell you complaining about the "MWAG minding his own business" gets you nowhere. Its simpler to educate the caller, but so many of them are from Mr. and Mrs. Anonymous.
I used to call anonymous calls "When you care enough to do the very least". If its important enough to call about, at least leave some contact info because a complaint from a known party is much more significant, legally speaking, than an uncorroborated anonymous tip.
Sorry, drifting off topic. Anyway, everything gets dispatched and its primarily for liability reasons. No one wants to get sued because they failed to send an officer. So, you end up having to talk to the lady who says VooDoo priests are taking garbage from her trash can, transporting it to Houston, TX, and then killing her by making a snake grow inside of her brain. (Referred to Houston PD, as that's where the crime is occurring. You're welcome whoever took the call from the lady asking for the Houston PD VooDoo Detective's Bureau.)
Very well said!
If I may add to your last bit... All calls are dispatched for political reasons as well. The Sheriff wants his votes you know. Unfortunately there are some people in the general public who like to abuse the 911 system KNOWING the police/fire/EMS HAVE to respond.