It seems to be easy to call several topologies switched mode. However it is (or was) associated more with DC-DC converters, rather than DC-AC.
I recall a company came out with their line of switched-coil converters, giving them a name 'Switchmode'. Companies often give their product a catchy trademark name, hoping people will associate the name with their product, and only their product, and that they will not apply it in a general way to similar products.
However switched-mode can also be a general term, describing a modern approach to designing more efficient power supplies. Sort of a catch-all term.
So to be specific I like to use the term switched-coil when talking about DC-DC converters.
DC-to-AC conversion requires switching, so there's little distinction if we call it switched-mode.