Sounds like a semantic problem! The grid has traditionally referred to the electrical grid. What we could suppose they mean is what has been called "sufficient living". That is, striving for minimal dependency on others, especially avoiding relationships which are likely to be exploitive. As an oft squatter myself, people have often asked me about what kind of inter/dependence I enjoy. In urban environments, I found that conditions were comfortable and I minimized environmental impact by scavenging. It would be disruptive to chop down one of the only trees in the neighborhood so I could have the satisfaction of making my own furniture - while meanwhile wasteful people discard good furniture on a regular basis. I can re-use things for practical reasons without being dependent upon much.
It sounds like many here posit sufficient living as being a deliberately low-tech, secluded affair. But avoiding dependence upon exploitive utilities in no way implies that one can't generate electricity, or participate on computer networks. Some might decry an infinite regress of needing to make all of your own tools, smelt your own ores, etc - it is up to the people in question how far they choose to take it. Most kinds of consumerism have a degree of choice which allows for less exploitive, more inter-dependent options, such as doing business with other individuals or small companies. Somebody even just getting rid of their monopolistic utilities is doing more to be sufficient than most.