As with any emerging computational platform, there is always going to be confusion. For example, when Cloud Computing first premiered I can't count the number of times I had conversations with C-level executives, IT managers, and even engineers thinking that "The Cloud" solved their problem whereas in reality it didn't. With Edge and Fog Computing, we are very much in this early phase of ambiguity.
At present, the closest capability to computing within the network fabric itself is Fog Computing. Cisco's IOx-enabled line of products (https://www.cisco.com/c/en/us/products/cloud-systems-managem...) pair a high-end router with decent computational capabilities. Other companies, like Nebbiolo Technologies (https://www.nebbiolo.tech/) or Fog Horn (https://www.foghorn.io/) provide Fog platforms that are not as locked to specific hardware.
If you would like more information on how Cloud, Edge, and Fog differ, I'll shamelessly plug our blog post from earlier this year: