Almost every major organisation will have a big data analytics program doing feature extraction, modelling, machine learning etc. Usually this starts with Hadoop/Spark with data in HDFS but then a point comes when you want this in a database.
PostgreSQL is awful at this which is why almost no uses it in this space. Apart from the lack of native drivers it is simply too difficult to do basic clustering. And the fact that it isn't built into the product doesn't give you a lot of confidence that it is (a) going to work and (b) is going to be supported.
And yes for those that scale out NoSQL is a magic solution. That's why they are so popular. I can deploy a 40 node Cassandra cluster in 30 mins and guarantee it works. Likewise MongoDB replica sets are ridiculously easy.
I tend to disagree that Postgres does partitioning well; partioning table resolution is rather dumb, there is no hinting (e.g. there is no way to tell postgres that there is a unique mapping for each query to a table) and no caching of CHECK results.
Everyone organization that has a database wants to scale out to at least a 2 node cluster just for not having a single point of failure. Scaling is not always about performance, at first, it's more about availability.
But it's something you're less likely to need if you structure your data, in an RDBMS. If you know your SQL, then optimizations should be preferred before scaling out. Not just because you need to, but because it can improve user experience (server response latency).