A little bit of both. I have multiple places that I post my art, and sometimes I'll get an influx of new people. So to remind them occasionally "hey I have a comic all the way over here. Different style than my other stuff but still by me!" helps bring new people to it.
I will say that making a twitter just for my comic was a bust though, not much traction there. Instead I have to promote it on my main twitter/tumblr. I would just keep trying stuff to see what fits.