But broadband ISPs sort of operate as both and neither. You can call them either an information service or a telecommunication service depending on how you view them. But there are problems with both labels.
Which led the FCC labeling cable broadband an info service and DSL a telecommunication service. That ruined the DSL market in the USA until the FCC decided to label all ISPs as information services.
In 2015, the FCC switched back to telecommunication service because they lacked the power to apply net neutrality to an info service.
Really, we need a new regulatory scheme, but good luck getting that through congress.