Normalization also better supports ad hoc inquiries and reporting compared to denormalization; denormalization is an optimization for regularized reporting patterns (responding to a question that a denormalized reporting design didn't anticipate often requires effectively renormalizing the data, which recovers the logical benefits of normalization, at a potentially very high performance cost.)
> NoSQL is designed to support both of these scenarios well.
Without the integrity benefits of normalization on updates, and without the benefits of normalization for ad hoc queries.
OTOH, there are very few uses of normalized RDBMSs where only the write performance benefits are sought -- usually at least integrity is a concern, and sometimes ad hoc querying as well.
NoSQL is designed to support both of these scenarios well. And with lower overhead requirements by not having to update a central store... It is used in particular for Big Data solutions. Rather than having to be optimized for one or the other as an RDBMS would require.