The more fine-grained nature of boring REST calls makes it more easy to control client impact on the system.
If you want to see the kind of work you actually need to put in to make a graphql API, look at Shopify. They have rate limits based on quantity of data returned. Cursors and pagination. The schema is a huge ugly mess with extra layers that never show up in the pretty examples of GraphQL on the internet.
Note that even if you use graphql for a private api to your web client, folks will reverse engineer it and use it for their own purposes. There are no private apis on the web.
I'm not a fan of graphql for anything that the public could see. It's somewhat akin to exposing a SQL interface; it opens up too many avenues of trouble. Keep public communication channels as dumb as possible.