It might be a thing to consider! And it'd be something that's helpful on all social media -- in my opinion/experience, most social media doesn't work very well if you just post your comic and that's all.
If you started doing something like, one of those sketch-a-day challenges, or a fun warm-up sketch before you started drawing your comic for the week, or something like that, it would not only be great practice art-wise, but it would also be a thing to post on tumblr/twitter/instagram/etc that's more personal than "hey my comic updated!"
If I ran into someone on social media with a comic I hadn't read, and all of their posts were "hey my comic updated, check it out!" -- I would not follow them. But if they were doing a sketch-a-day challenge and posting new sketches sort-of-daily along with their comic updates, I might follow them if I liked the kind of stuff they were drawing. And eventually I'd probably check out their comic.