I love web series and skits!!! I really think its the way of the future.
As for the industry accepting it...I'm not sure. t seems producers, directors, actors and creative people embrace it, and are always searching for a new angle on it. Agents and CDs seem a little slower, only really accepting it when its HUGE...i.e. litterally EVERYONE has seen it.
During the writers strike, professional writers and actors found a lot of creative ways to use NuMedia to keep busy and make some cool alternative stuff while their main stuff is off the air.
A favorite of mine is "Dr. Horrible's Sing-Along Blog", created by Joss Wheadon and starring Neil patrick Harris and Nathan Fillion. Its a story in three parts, about how bad guys never win, no matter how hard they try.
Part 1:
http://www.imdb.com/video/hulu/vi2313420825/Part 2:
http://www.imdb.com/video/hulu/vi2296643609/Part 3:
http://www.imdb.com/video/hulu/vi2548301849/The great thing about New Media is its not just for guys like Wheadon and Harris. Its a format you can really show your stuff with creating your own material. And you can do it cheap too...people tend to forgive low production value on the internet, maybe even crave it.
I would say it single best way to get your stuff out there. To the industry and to the public itself. Will it get you an agent or a foot in? who knows...but in this format you can truly make what you like and like what you make.