It isn't just about publicity, it is also about legal precedent.

In the English common law system, a judge is allowed to cite not just precedent from within their own country's legal system, but also precedent from courts in foreign common law jurisdictions. Foreign courts are not binding precedent, but a judge is allowed to say they are persuaded by the foreign court's reasoning. The propriety of citing foreign court judgements has become rather controversial in the US, but in England and other common law jurisdictions it is an accepted practice which few question.

I doubt a legal precedent from India is going to persuade the courts of developed countries like UK, US, Canada, Australia, New Zealand, etc. Even though most of those are technically allowed to consider Indian court decisions (as a fellow common law jurisdiction), they rarely give Indian courts much heed in practice. But it may be much more influential with the courts of developing countries in Africa and elsewhere. That's what Elbakyan is trying to do, win a case in India and then use that as a springboard to winning cases in other countries too.