Twitter ads only appear in your stream, which I at least keep very curated, since the volume people tweet can destroy it's value. I find Twitter ads much more intrusive. Also, go back through your likes (if you haven't). You'll be surprised how often stuff gets in there that you don't remember liking (you may be an exception and keep it very curated, most people do not). Facebook can target you based on any one of the pieces of information on your profile, which includes everything Twitter tracks, plus the additional fields. This doesn't even go into Partner Categories, which you cannot avoid being a part of, Custom Audiences from companies whose email list you are on, and Lookalike Audiences where you show up as similar to customers on another companies email lists (none of which Twitter offers). While you can target users on Twitter based on what they tweet about, something I don't believe Facebook offers yet, that is something that I would be shocked if Facebook doesn't roll it out. From my experience using both platforms, the one major targeting option Twitter offers that I'm not sure if Facebook is near being able to offer is sentiment analysis (you can target based on positive or negative feelings on a given topic). The only reason I lean towards assuming Twitter is ahead here is I know they have put resources into sentiment analysis.

Overall, the amount of targeting you can do on Facebook dwarfs Twitter, regardless of how atypical a user you are.