You mean the bowl or the network don't want them there? I think the bowls are happy to have them there, and probably the networks too. It is the greed of the big five conferences that don't want them there.
Bowl attendance for the Orange Bowl last year, with Northern Ill, had a very good attendance year of 72,000, better than the prior 3 years.
The Feista Bowl attendance in 2007 when Boise State played Oklahoma was 73,700. The closest Feista bowl attendance since was in 2010 when two non BCS schools, Boise State and TCU played in front of 73,200.
In the past five bowl games, the Sugar Bowl hasn't matched the 2008 attendance level of 74,383, which was the year Hawaii played. The Sugar bowl attributes a dismal 2013 showing of 54,100 to Florida who only sold 7,000 tix.
I think the bigger issue becomes when a school's fans get tired of going to the same bowl, not when the non bcs guy gets their shot.
http://www.bcsfootball.org/news/story?id=4809856