Modders are there to be creative, not to clean developers' mess.
I must admit, I don't really see where you're coming from; some modders will decide to try their hand at bugfixing and/or restoring cut content (which all up makes a small percentage of total modding done for a game), others will want to make new content, the two are hardly mutually-exclusive.
Honestly I understand why a company like EA would be protective of its own image, especially with the horrible cesspits of nastiness that many modding communities revolving around Bethesda have become. My mind will never forget some of these images…
I find it unlikely that Dragon Age's relative lack of mod-friendliness lies in some bizarre fear EA has that modding will have on it's image (though this IS EA we are talking about after all), and more to do with (being very general/broad here) the game engine itself and Bioware's lack of willingness to devote resources towards making it easily moddable on the same level as some other games (which is their decision really, I don't really begrudge them on that).
Also, the only mods that typically get a lot of attention in the gaming media are usually rather significant/well-known ones, such as (for Bethesda games) Falskaar, Tamriel Rebuilt, Project Brazil, or Nehrim that, if anything, serves to be a positive effect to the game's image and also helps to extend its' life far longer that what it would have been otherwise.
Also, let's be serious here, this is EA we are talking about; I think we could all agree that modding communities of all things is small fish compared to other image problems the company has, even if we were to accept the arguement that modding communities somehow have a negative effect on a company's image (I personally would have thought that it would reflect more on the
specific modding community in question if that were the case).
Essentially the crux of my argument is this; If you want an XXX adult Skyrim prostitution mod, it's available, if you want a complex quest mod that features new areas, they're available, if want a mod to have the real world time displayed in loading screens, then it's available. Calling whole modding communities cesspits due to the presence of some adult mods/other rubbish is undeserved in my opinion; it is after all your decision to seek out and download said mods within those general modding communities.*
*Those modding communities that specfically create and congregate around such content is another story entirely however