Err.. I'm not sure about Apple or TimeWarner, but Google and Microsoft have been very successful at making display advertising work well.

Check out the IAB 2013 Half Yearly report[1]. Some key quotes:

Display-related advertising accounted for $3.1 billion or 30% of total revenues during Q2 2013, up 8% from the $2.9 billion (33% of total) reported in Q2 2012. Q2 2013 Display-related advertising includes Display/Banner Ads (19% of revenues, or $1.9 billion), Rich Media (3% or $329 million), Digital Video (7% or $676 million), and Sponsorship (2% or $181 million).

Note that they aren't counting mobile advertising as display advertising (even though much of it effectively is).

Mobile revenues continued to quickly gain share, representing 15% of total revenues in HY 2013, as compared with 9% reported in FY 2012 and 5% in FY 2011. First half 2013 Mobile revenues represent 90% of total 2012 Mobile revenues.

Note that Twitter has particularly strong mobile usage.

Many people don't realize that people still pay a lot for "eyeballs":

At 65% of advertising revenues through half-year 2013, performance-based pricing appears to have leveled off, even experiencing a slight decline from its high of 66% for the full year 2012. As a result, CPM/impression-based pricing gained slightly, up to 33% for the half-year, its highest point since 2010.

[1] http://www.iab.net/media/file/IABInternetAdvertisingRevenueR...