I had never heard of these algorithms until now.

But I would still use Elasticsearch since (a) everyone else does so lots of support, (b) ridiculous amount of plugins, drivers and rivers, (c) PostgreSQL has a far weaker scalability story, (d) Kibana is a great UI to help with debugging, (e) you can use ELK for your monitoring as well as search.

I could definitely come with a few more but Elasticsearch is a product that does search really well.