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Lambda function, not lambda function. Capitalization is key (the former is just a brand name).

Having reductions and composition would be really cool, but from what I could glean from the demos each function is containerized. Stateless and idempotent like lambda functions, but right now chaining more than one together requires an intermediary event.

I guess the term 'Lambda' here is taken to mean 'a function without side effects'. So no higher-order chainability, etc. afaik.

Except that it can have side effects, can't it - it can trigger services, cause stuff to be changed in a datastore. It doesn't have any local stateful storage, but it can make use of remote state. In that respect, how is it different from basically any web request processor?

Lambda is just the brand name.