Columbo lights up i some of the most ridiculous places not caring who he might be offending. For instance
Ashes to Ashes. He smokes in the display room. He also has that thing lit up when he gets into the back of the cab later on in the episode.
Butterfly in Shades of Grey Smoking in the conference room. Not only that, when he puts it out in the waste basket, it starts a small fire that he has to put out with coffee Fielding chases famous line is " are you burning ragweed in here?"
In various episodes, he smokes in other people's homes. Very disrespectful
And the real kicker? He lights up in the hospital in the episode of Make me a Perfect Murder
I remember when you could smoke in any shops, McDonalds, cinemas etc.,any public place, and they had ashtrays. In them days it was unthinkable to deny a smoker the right to smoke anywhere, so, accurate Columbo behaviour for the times.
All joking aside, maybe it was just the word "ashes" in that title that threw you.
After all, Milo has those two really good lines about Columbo's "cigar ashes."
I also am not a cigar fan, so I sympathize with the characters who are irritated by Columbo’s smoking, especially when he is careless or inconsiderate with the ashes. Yuck.