This site has a tiny biography along with examples showing a variety of Treidler's work. But there was no really useful biographical sketch that I could find on the Internet.
According to his AQ memoir, Treidler was born in West Cliff, Colorado. The family moved to various mining towns in that state until leaving for San Francisco about 1898. He worked for an advertising agency while in his teens, experiencing the 1906 earthquake and fire shortly before departing for Chicago. There he stayed for about a year and a half, working as an artist for the Chicago Tribune newspaper. Then he moved on to New York where one of his paintings that happened to include a Pierce-Arrow car caught the eye of a man who soon became an art director at the Calkins & Holden advertising agency, which held the Pierce-Arrow account. From that point, his career took off like a rocket.
Besides Pierce-Arrow ad art (which ended around 1930, when the company was rapidly declining), he did poster and other advertising art for the French Line, Bermuda tourism, the government war effort in both world wars, and Chesterfield cigarettes.
Treidler was surprisingly versatile when it came to style. The posters dealing with Bermuda would seem to have been done by another artist than the one who did the World War 2 poster. And it might have been a third artist who did the Chesterfield ad art and a fourth who worked for Pierce-Arrow. But of course this was all Treidler. I wouldn't quite place him in the top echelon of illustrators because he didn't do story illustration so far as I can tell. But as an advertising artist he was indeed good.