No, edge is just poorly defined. Plenty of companies call their servers “edge” because they’re collocated with ISPs. Even ISPs when they talk about edge compute aren’t talking about your laptop but about compute in their colo.

edge just means as close to the user as you can get.

microsoft's edge is closer to the user than cloudflare's edge or an ISP's edge because microsoft runs your laptop.

Wow, they really do have an edge over the competition there...

Champions of edging

I don’t think that’s true. Lambda@Edge has been a thing for over 8 years.

https://aws.amazon.com/lambda/edge/