Going by Jhiaxus and Monzo's rather strict definition of "Obscure," I think even cameo appearances in other media would rule them out as Obscure. I personally don't count a mention as an appearance, but perhaps others would which is why I put that little footnote next to Beta.
IDW would absolutely have a whole list of Obscure characters which is why I'm going to need help from the community to compile a comprehensive list of Obscure characters (as well as checking to see if I've made any mistakes -- I might need to reconsider my inclusion of Beta)
Believe it or not, many of those minor characters from IDW have made appearances elsewhere.
e.g. Tarn also appeared in the Kre-O and TransTech continuities and also has an official toy (licensed third party figure).
Anyone who's seen Season 1 of the G1 cartoon knows who Hauler is, but Hauler appears on the Obscure Transformers Website because he initially only ever appeared in the cartoon and no other media (note: the Obscure TF website was created before eHobby started doing their exclusive G1 characters, so the Hauler toy did not exist when the site was made).