They don't need anything spectacular just something that works and is easy to use. Obviously I have no idea but from what I've read in the suggestion forums it sounds like there is enough money available to create an app, it's just starting the development process that seems to be unclear at the moment. Often times the best apps are the simplest, so it's not like the BB's have to go out of their way to create the greatest app ever invented.
Also, this does not have to do with the idea of an app, but why hasn't buzzerbeater taken advantage of other forms of social media to get their brand out there lately? I am aware that there used to be a blog and twitter page, but recently I have not heard of any other attempts to advertise or rally the community through external sites. I know the blog and twitter pages were not huge successes, but I think they could be fun and beneficial if regularly updated. A few retweets on twitter could lead to hundreds of others seeing the site, and even if only 1 out of those 100 decide to join that's still 1 person that would not have joined the site otherwise. Twitter has definitely grown since 2011 when the official BuzzerBeater twitter was last updated, and although I don't think it would help grow the community exponentially it couldn't hurt.
Again, these are just ideas, and I much rather an app be created before any other idea is acted upon. If what Koperbox said is true, and the BB's plan on advertising as soon as they are completely satisfied with the product of this site, than why not take advantage of the free advertising social media can provide.