This is basically the function coloring problem. There was some ardent discussion about this a few weeks ago on HN [1], where the top comment positioned function coloring as a feature, because it highlights where expensive operations like IO might potentially be happening in your application.
I saw a comment recently where someone pointed out an old API in Java where comparing two URLs for equality initiates a DNS request, and so something as simple as putting a URL in a hash table could end up involving a network request [2]. So maybe it's reasonable to color functions that connect to the network at the very least. If I used a URL comparison library and it returned a promise it would immediately set off alarms in my mind.