Do you think the best lower division football programs get publicity for their school? 99% of the population knows nothing about the best football programs in the lower divisions. Lower division football gets zero publicity, which is about the same as college soccer.
Look at the sports sections of the newspapers, watch the sportscast on the news.
This week alone both Colorado School of Mines and CSU - Pueblo have had feature articles in the Post in addition to game stories. Each of these schools has recieved more print space, and more prominent space than all of the soccer coverage including the Rapids and MLS, the highest level of soccer in the US. Other than line scores I have seen virtually no coverage of college soccer.
Same on a certainly unscientific viewing of local sportscast. Coverage of small college football with individual teams getting more coverage than any soccer coverage other than HS. Nationally ESPN and some of the national networks have increased their soccer coverage, mainly to try to drive viewership to the games they are using to fill air time but again even the best college soccer teams get little to no coverage.
Lower division football doesn't get national coverage but neither does any college soccer. On a local and regional basis it is covered much more than soccer.
By the way even though they are an FBS school CSU isn't getting any national coverage now. Their level of coverage would not drop significantly and in fact may increase going from being a losing, lower end FBS program to a competitive FCS program.