I don't see this as much competition for the Ticket or any local radio station. It's a bigger concern for the papers and TV stations.
Sports Day in the Dallas Morning News is a shadow of its former self. The Morning News website is okay, but it's hard to find the info you want. Good reporting in the paper has been replaced by decent reports on sports blogs on the website.
Put another way, the bar is low for ESPN. They don't have to do much to do better than the Morning News. The bigger question is whether they'll hurt the local TV stations. Again, the bar there is pretty low. Local TV stations are all but eliminating sports. Local TV stations are trying to do more sports on the web, but it is generally pathetic and farmed out to some 3rd party that provides meager local information.
The way for the Morning News and others to beat ESPN is to hire more people, focus on local sports and promote it well.
Local TV news can stem the losses by re-evaluating what they cover too. Last night was a great example: TCU beat Clemson on the road. UNT hosted a game. Channel 4 put highlights of those games waaaaay down deep in their sports cast. Highlights of UT, Baylor, Nebraska, Texas Tech, etc.. all played before any highlights of the two local division 1 schools. This is insane. There are more fans of TCU, SMU, and UNT in this market than any of those other schools. I'm not saying you don't run the UT highlights up high, but I am saying you should focus on the local schools a lot more than UT. Failure to properly cover local sports will result in viewers looking elsewhere for local sports coverage. That's what's happening now. Rather than understand this problem, the bean counters have decided people aren't all that interested in sports and so they cut the sports budgets even more. It has become a self-fulfilling prophecy.