Computing (or computational science) has always been a bit of a confusing term. Is it the science of computing, or is it science (whatsoever) with the help of computing (as in computational physics or mathematics). Of course we have got used to the terminology and use it as deemed fit for the argument.
It becomes however a bit more complicated if we start talking about Digital Science (or Digital Ethics, which I use also myself). Where computing can be seen as a reasonably well defined activity, this cannot be said anymore of Digital. Almost everything that has something to do with information, will relate to the digital world nowadays. So how would we define or describe Digital Science. Internet Science is likely an introspective part of it, as it studies part of the digital world (the Internet). But is seems that it is mostly used for doing science in a digitally enabled way. Like using AI or deep learning for understanding natural or social phenomena.