I've been using Perplexity for months now on the Free tire (with the 5 Pro searches/4 hours) and its been plenty for me and I use it has completely replaced google for me. So I'm not sure where Perplexica fits in my use case, especially that I'll have to install and maintain it and use lesser models than Perplexity.
Some people want to self-host this technology. AI is very powerful, and not everyone wants that to be controlled by large corporations or institutions.