I hope SQL pipes become commonplace so that I can use them anywhere I have to write SQL queries.
The only slightly annoying thing with CTEs is that you always have to name them. You might consider this an overhead if the flow is strictly linear. But when the flow is not linear (eg when doing two different aggregations over the same data, to join them later) you need a way to refer to the intended CTE, so always requiring a name does add some consistency and doesn’t seem a big deal overall.
Depends on DB engines I suppose. I've come across that certain operations were not allowed in CTEs, and they can be an optimization barrier.
However if your query is dynamically modified at runtime, then CTEs can be a no-go. For example, we have a grid component which first does a count and then only selects the visible rows. This is great if you have expensive subselects as columns in a large table. However to do the counting it turns the main query into a sub-query, and it doesn't handle CTEs.
Section 2.1.4 the paper lists the benefits of the pipe syntax over CTEs, and they are all based on ergonomics. As someone who has never had issues with the ergonomics of CTEs I must say I am not convinced that proposed syntax is better. It may be that I've been doing SQL for so long that I don't see its warts. Overall SQL feels like a very well designed and consistent language to me. The new pipe syntax appears to bolt on an imperative construct to an otherwise purely functional language.